High School

You custom make trail mix that is 54.5% peanuts, 21.3% raisins, and 24.2% chocolate chips. If the weight of the trail mix is 172 grams, how much do the peanuts weigh? Round your answer to the nearest tenth, if necessary.

A. 93.5 grams
B. 87.3 grams
C. 72.5 grams
D. 39.4 grams

Answer :

Final answer:

The weight of the peanuts in the trail mix is 93.7 grams when rounded to the nearest tenth.

Explanation:

To solve this problem, we need to calculate the weight of the peanuts in the trail mix. Given that trail mix is 54.5% peanuts and the total weight is 172 grams, to find the weight of the peanuts we have to multiply the total weight of the trail mix by the percent of peanuts in the mix:

172 grams * 54.5% = weight of peanuts.

Keep in Mind that when doing this calculation, you need to convert 54.5% to a decimal, which is done by dividing 54.5 by 100, yielding 0.545:

So, 172 * 0.545 grams = 93.74 grams.

Round this value to the nearest tenth, it becomes 93.7 grams. So, the correct option is the first one 'a' - 93.7 grams.

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