A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. What fraction of the mixture by weight is pineapple?
Answer (2)
The question is asking for the fraction of the weight of the pineapple in the fruit salad mix which follows the ratio of 2:3:5 for pineapples, pears, and peaches, respectively. To find the fraction of the mixture that is pineapple, first, add up the parts of the ratio: 2 (pineapple) + 3 (pear) + 5 (peach) = 10 total parts. Since pineapple represents 2 out of the 10 total parts, the fraction of the mixture that is pineapple is 2/10 or, when simplified, 1/5.
The fraction of the fruit salad by weight that is pineapple is 5 1 . This is determined by simplifying the ratio of pineapples, pears, and peaches, which totals 10 parts. Therefore, pineapple represents 2 out of those 10 parts, leading to the fraction of 10 2 or 5 1 .
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