Warm up problem 2
Yoshi goes to walmart with $100 to buy apples, pears, and oranges. He needs to buy two times as many oranges as pears, and two times as many pears as apples. 5 oranges costs $2.15, each pear costs $3.10, and 10 apples cost $2.30. Find the maximum number of fruits that he can buy.
Assume
He can buy individual fruits.
He can't by a fraction of a fruit.
He does not exceed $100
The answer is 84.
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1 solution
We start off by reducing the proportions to 1 apple=$0.23, 2 pears=$6.20, and 4 oranges=$1.72. Because we need them in this exact proportion, we can add them together to get a total of $7.95.
Now, we need to find ⌊ 7 . 9 5 1 0 0 ⌋ because we can't have a fraction of a fruit nor can we exceed $100. Thus we get 12.
Finally, we have to multiply the total number of fruits (7) by 12 and our answer is 84.