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Question 257584: Please let me know if I solved this problem correctly:
A recipe for trail mix requires 2 parts peanuts, 3 parts raisins, and 4 parts granola by weight. Chiwa has 30 ounces of peanuts, 63 ounces of raisins, and 40 ounces of granola. How many ounces of trail mix can she make? How many ounces of raisins will she need?
Here are the choices:
a. 90 oz; 30 oz c. 113 oz; 38 oz
b. 135 oz; 45 oz d. 133 oz; 63 oz
My solution:
altogether she has 133 ounces combined. The trail mix is divided into 9 parts.
So the total amount of trail mix must be divisible by 9.
peanuts are 2/9 of the total
raisins are 3/9 = 1/3 of the total
granola is 4/9 of the total.
b. is excluded because it exceeds 133 ounces
c. and d. are excluded because they are not divisible by 9.
The only logical answer is (a.)
Please let me know if my reasoning is accurate.
If I were not given these choices, how could I determine how much I would need of each?
Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A recipe for trail mix requires 2 parts peanuts, 3 parts raisins, and 4 parts granola by weight. Chiwa has 30 ounces of peanuts, 63 ounces of raisins, and 40 ounces of granola. How many ounces of trail mix can she make? How many ounces of raisins will she need?
Here are the choices:
a. 90 oz; 30 oz c. 113 oz; 38 oz
b. 135 oz; 45 oz d. 133 oz; 63 oz
My solution:
altogether she has 133 ounces combined. The trail mix is divided into 9 parts.
So the total amount of trail mix must be divisible by 9.
peanuts are 2/9 of the total
raisins are 3/9 = 1/3 of the total
granola is 4/9 of the total.
b. is excluded because it exceeds 133 ounces
c. and d. are excluded because they are not divisible by 9.
The only logical answer is (a.)
Please let me know if my reasoning is accurate.
If I were not given these choices, how could I determine how much I would need of each?
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Your solution is correct.
If you were not given the choices there would be many solutions.
The only restriction would be the mix could not exceed 133 ounces.
2 + 3 + 4 would be only solution
4 + 6 + 8 another
etc.
Cheers,
Stan H.
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Cheers,
Stan H.
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