Mixture Algebra word problem
$begingroup$
Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product they combine Brand A mixed nuts which contain 35% peanuts and Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use?
A detailed explaination of how to get the answer would be greatly appreciated thanks!
word-problem
asked Mar 21 '15 at 15:06
AmbroseAmbrose
132
$endgroup$
add a comment |
$begingroup$
Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product they combine Brand A mixed nuts which contain 35% peanuts and Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use?
A detailed explaination of how to get the answer would be greatly appreciated thanks!
word-problem
asked Mar 21 '15 at 15:06
AmbroseAmbrose
132
$endgroup$
$begingroup$
Welcome to MathSE! We prefer if you add some more details to your question: what have you tried and where do you get stuck? This will help other users give good answers.
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– Johanna
Mar 21 '15 at 15:11
1
$begingroup$
Hello. Well I have no idea where to begin in this problem, I know there is an equation here somewhere but I can't identify it correctly. So far I tried [21(.29)= (.35)A + (.25)B] but that doesn't help at all because there's still 2 variables. I just simply want to know how to properly arrive at the answer, thanks.
$endgroup$
– Ambrose
Mar 21 '15 at 15:18
add a comment |
$begingroup$
Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product they combine Brand A mixed nuts which contain 35% peanuts and Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use?
A detailed explaination of how to get the answer would be greatly appreciated thanks!
word-problem
asked Mar 21 '15 at 15:06
AmbroseAmbrose
132
$endgroup$
Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product they combine Brand A mixed nuts which contain 35% peanuts and Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use?
A detailed explaination of how to get the answer would be greatly appreciated thanks!
word-problem
word-problem
asked Mar 21 '15 at 15:06
AmbroseAmbrose
132
asked Mar 21 '15 at 15:06
AmbroseAmbrose
132
asked Mar 21 '15 at 15:06
AmbroseAmbrose
132
asked Mar 21 '15 at 15:06
AmbroseAmbrose
132
asked Mar 21 '15 at 15:06
AmbroseAmbrose
132
132
$begingroup$
Welcome to MathSE! We prefer if you add some more details to your question: what have you tried and where do you get stuck? This will help other users give good answers.
$endgroup$
– Johanna
Mar 21 '15 at 15:11
1
$begingroup$
Hello. Well I have no idea where to begin in this problem, I know there is an equation here somewhere but I can't identify it correctly. So far I tried [21(.29)= (.35)A + (.25)B] but that doesn't help at all because there's still 2 variables. I just simply want to know how to properly arrive at the answer, thanks.
$endgroup$
– Ambrose
Mar 21 '15 at 15:18
add a comment |
$begingroup$
Welcome to MathSE! We prefer if you add some more details to your question: what have you tried and where do you get stuck? This will help other users give good answers.
$endgroup$
– Johanna
Mar 21 '15 at 15:11
1
$begingroup$
Hello. Well I have no idea where to begin in this problem, I know there is an equation here somewhere but I can't identify it correctly. So far I tried [21(.29)= (.35)A + (.25)B] but that doesn't help at all because there's still 2 variables. I just simply want to know how to properly arrive at the answer, thanks.
$endgroup$
– Ambrose
Mar 21 '15 at 15:18
$begingroup$
Welcome to MathSE! We prefer if you add some more details to your question: what have you tried and where do you get stuck? This will help other users give good answers.
$endgroup$
– Johanna
Mar 21 '15 at 15:11
$begingroup$
Welcome to MathSE! We prefer if you add some more details to your question: what have you tried and where do you get stuck? This will help other users give good answers.
$endgroup$
– Johanna
Mar 21 '15 at 15:11
1
1
$begingroup$
Hello. Well I have no idea where to begin in this problem, I know there is an equation here somewhere but I can't identify it correctly. So far I tried [21(.29)= (.35)A + (.25)B] but that doesn't help at all because there's still 2 variables. I just simply want to know how to properly arrive at the answer, thanks.
$endgroup$
– Ambrose
Mar 21 '15 at 15:18
$begingroup$
Hello. Well I have no idea where to begin in this problem, I know there is an equation here somewhere but I can't identify it correctly. So far I tried [21(.29)= (.35)A + (.25)B] but that doesn't help at all because there's still 2 variables. I just simply want to know how to properly arrive at the answer, thanks.
$endgroup$
– Ambrose
Mar 21 '15 at 15:18
add a comment |
1 Answer
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$begingroup$
As noted in a comment, you had already found that
$$(0.29)21= (0.35)A + (0.25)B.$$
The interpretation of this is that $A$ is the amount of mixed nuts of Brand A that are used,
and $B$ is the amount of mixed nuts of Brand B.
The left side indicates that the mixture contains $21$ ounces of nuts.
To be extra clear, I'll repeat the preceding paragraph in slightly different words:
The manufacturer takes $A$ ounces of one brand of nuts and $B$ ounces of another
brand of nuts to make $21$ ounces of mixed nuts.
Using just the information in the previous paragraph, you can write another
equation involving $A$ and $B$. The numbers $0.29$, $0.35$, and $0.25$
were not mentioned in that paragraph, so they do not occur in the equation.
You will then have a sufficient mathematical model to solve the problem.
answered Mar 21 '15 at 16:00
David KDavid K
55k344120
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add a comment |
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1 Answer
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1 Answer
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$begingroup$
As noted in a comment, you had already found that
$$(0.29)21= (0.35)A + (0.25)B.$$
The interpretation of this is that $A$ is the amount of mixed nuts of Brand A that are used,
and $B$ is the amount of mixed nuts of Brand B.
The left side indicates that the mixture contains $21$ ounces of nuts.
To be extra clear, I'll repeat the preceding paragraph in slightly different words:
The manufacturer takes $A$ ounces of one brand of nuts and $B$ ounces of another
brand of nuts to make $21$ ounces of mixed nuts.
Using just the information in the previous paragraph, you can write another
equation involving $A$ and $B$. The numbers $0.29$, $0.35$, and $0.25$
were not mentioned in that paragraph, so they do not occur in the equation.
You will then have a sufficient mathematical model to solve the problem.
answered Mar 21 '15 at 16:00
David KDavid K
55k344120
$endgroup$
add a comment |
$begingroup$
As noted in a comment, you had already found that
$$(0.29)21= (0.35)A + (0.25)B.$$
The interpretation of this is that $A$ is the amount of mixed nuts of Brand A that are used,
and $B$ is the amount of mixed nuts of Brand B.
The left side indicates that the mixture contains $21$ ounces of nuts.
To be extra clear, I'll repeat the preceding paragraph in slightly different words:
The manufacturer takes $A$ ounces of one brand of nuts and $B$ ounces of another
brand of nuts to make $21$ ounces of mixed nuts.
Using just the information in the previous paragraph, you can write another
equation involving $A$ and $B$. The numbers $0.29$, $0.35$, and $0.25$
were not mentioned in that paragraph, so they do not occur in the equation.
You will then have a sufficient mathematical model to solve the problem.
answered Mar 21 '15 at 16:00
David KDavid K
55k344120
$endgroup$
add a comment |
$begingroup$
As noted in a comment, you had already found that
$$(0.29)21= (0.35)A + (0.25)B.$$
The interpretation of this is that $A$ is the amount of mixed nuts of Brand A that are used,
and $B$ is the amount of mixed nuts of Brand B.
The left side indicates that the mixture contains $21$ ounces of nuts.
To be extra clear, I'll repeat the preceding paragraph in slightly different words:
The manufacturer takes $A$ ounces of one brand of nuts and $B$ ounces of another
brand of nuts to make $21$ ounces of mixed nuts.
Using just the information in the previous paragraph, you can write another
equation involving $A$ and $B$. The numbers $0.29$, $0.35$, and $0.25$
were not mentioned in that paragraph, so they do not occur in the equation.
You will then have a sufficient mathematical model to solve the problem.
answered Mar 21 '15 at 16:00
David KDavid K
55k344120
$endgroup$
As noted in a comment, you had already found that
$$(0.29)21= (0.35)A + (0.25)B.$$
The interpretation of this is that $A$ is the amount of mixed nuts of Brand A that are used,
and $B$ is the amount of mixed nuts of Brand B.
The left side indicates that the mixture contains $21$ ounces of nuts.
To be extra clear, I'll repeat the preceding paragraph in slightly different words:
The manufacturer takes $A$ ounces of one brand of nuts and $B$ ounces of another
brand of nuts to make $21$ ounces of mixed nuts.
Using just the information in the previous paragraph, you can write another
equation involving $A$ and $B$. The numbers $0.29$, $0.35$, and $0.25$
were not mentioned in that paragraph, so they do not occur in the equation.
You will then have a sufficient mathematical model to solve the problem.
answered Mar 21 '15 at 16:00
David KDavid K
55k344120
answered Mar 21 '15 at 16:00
David KDavid K
55k344120
answered Mar 21 '15 at 16:00
David KDavid K
55k344120
answered Mar 21 '15 at 16:00
David KDavid K
55k344120
55k344120
add a comment |
add a comment |
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$begingroup$
Welcome to MathSE! We prefer if you add some more details to your question: what have you tried and where do you get stuck? This will help other users give good answers.
$endgroup$
– Johanna
Mar 21 '15 at 15:11
1
$begingroup$
Hello. Well I have no idea where to begin in this problem, I know there is an equation here somewhere but I can't identify it correctly. So far I tried [21(.29)= (.35)A + (.25)B] but that doesn't help at all because there's still 2 variables. I just simply want to know how to properly arrive at the answer, thanks.
$endgroup$
– Ambrose
Mar 21 '15 at 15:18