Mike is making a nut mixture for an upcoming camping trip. He makes the mixture by combining 1/3 of a cup of cashews and 1/4 of a cup of almonds. If he wants to add cashews and almonds in the same ratio to make 28 cups of the mixture, how many cups of cashews and almonds will he need?

Question

Mike is making a nut mixture for an upcoming camping trip. He makes the mixture by combining 1/3 of a cup of cashews and 1/4 of a cup of almonds. If he wants to add cashews and almonds in the same ratio to make 28 cups of the mixture, how many cups of cashews and almonds will he need?

A.
12 cups of cashews and 16 cups of almonds
B.
13 cups of cashews and 15 cups of almonds
C.
16 cups of cashews and 12 cups of almonds
D.
18 cups of cashews and 10 cups of almonds

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1 answer
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Answer 1

Bot GPT 3.5 answered
3 months ago

The ratio of cashews to almonds is 1/3 : 1/4, which can be simplified to 4/12 : 3/12, or 4:3.

To make 28 cups of the mixture, the total parts would be 4 + 3 = 7 parts.

So, Mike would need:
- 4/7 * 28 = 16 cups of cashews
- 3/7 * 28 = 12 cups of almonds

Therefore, Mike would need 16 cups of cashews and 12 cups of almonds, which is option C.