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In a bag of trail mix, the ratio of the number of almonds to the number of raisins is 4:3. If there are 600 almonds in the bag, how many raisins are there?

A) 150 raisins

B) 450 raisins

C) 800 raisins

D) 4500 raisins

1 Answer

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Final answer:

The number of raisins in the bag of trail mix is calculated by dividing the total number of almonds (600) by the almonds' part of the ratio (4) and then multiplying the result by the raisins' part of the ratio (3) to get 450 raisins.

Step-by-step explanation:

The question asks us to find the number of raisins in a bag of trail mix given the ratio of almonds to raisins and the total number of almonds. Since the ratio of almonds to raisins is 4:3 and there are 600 almonds, we first divide 600 by 4 to find out how many times the part of the ratio fits into the total number of almonds, which gives us 150. This number represents the value of each 'part' in the ratio. Then, we multiply this by 3 (the raisin part of the ratio) to find the total number of raisins: 150 × 3 = 450. Therefore, there are 450 raisins in the bag.

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