A company sells a container of trail mix that is 10% candy pieces and another container that is 25% candy pieces.%0D%0AHow many cups of each mixture would be needed to make 18 cups that is 20% candy pieces?%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A12 cups of the 10% peanuts and 6 cups of the 25% peanuts%0D%0A12 cups of the 10% peanuts and 6 cups of the 25% peanuts%0D%0A%0D%0A6 cups of the 10% peanuts and 12 cups of the 25% peanuts%0D%0A6 cups of the 10% peanuts and 12 cups of the 25% peanuts%0D%0A%0D%0A9 cups of the 10% peanuts and 9 cups of the 25% peanuts%0D%0A9 cups of the 10% peanuts and 9 cups of the 25% peanuts%0D%0A%0D%0A2 cups of the 10% peanuts and 16 cups of the 25% peanuts

Question

A company sells a container of trail mix that is 10% candy pieces and another container that is 25% candy pieces.%0D%0AHow many cups of each mixture would be needed to make 18 cups that is 20% candy pieces?%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A12 cups of the 10% peanuts and 6 cups of the 25% peanuts%0D%0A12 cups of the 10% peanuts and 6 cups of the 25% peanuts%0D%0A%0D%0A6 cups of the 10% peanuts and 12 cups of the 25% peanuts%0D%0A6 cups of the 10% peanuts and 12 cups of the 25% peanuts%0D%0A%0D%0A9 cups of the 10% peanuts and 9 cups of the 25% peanuts%0D%0A9 cups of the 10% peanuts and 9 cups of the 25% peanuts%0D%0A%0D%0A2 cups of the 10% peanuts and 16 cups of the 25% peanuts

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Answer 1

Bot GPT 3.5 answered

To solve this problem, we can set up a system of equations based on the amount of candy pieces in each mixture and the total amount of trail mix needed.

Let x be the number of cups of the 10% candy trail mix needed and y be the number of cups of the 25% candy trail mix needed.

We can then set up the following equations:

0.10x + 0.25y = 0.20(18)
x + y = 18

Solving this system of equations, we get x = 12 and y = 6.

Therefore, 12 cups of the 10% candy trail mix and 6 cups of the 25% candy trail mix would be needed to make 18 cups of trail mix that is 20% candy pieces.