A grocer has two kinds of candies, one selling for 90 cents a pound and the other for 40 cents a pound. How many pounds of each kind must he use to make 100 pounds worth 85 cents a pound?

Question

Mathematics

Adrianna Shaffer

6 November, 01:48

A grocer has two kinds of candies, one selling for 90 cents a pound and the other for 40 cents a pound. How many pounds of each kind must he use to make 100 pounds worth 85 cents a pound?

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Answers (1)

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Dana Morrison · Answer 1

If you would like to know how many pounds of each kind of candy must the grocer use to make 100 pounds worth 85 cents a pound, you can calculate this using the following steps:

Candy number 1:

c pounds = ? ... 90 cents a pound

Candy number 2:

d pounds = ? ... 40 cents a pound

c + d = 100 pounds

c = 100 pounds - d

c * 90 cents + d * 40 cents = 100 pounds * 85 cents

(100 - d) * 90 + d * 40 = 100 * 85

100 * 90 - 90 * d + d * 40 = 100 * 85

100 * 90 - 100 * 85 = 90 * d - 40 * d

500 = 50 * d

d = 500 / 50

d = 10 pounds

c = 100 pounds - d = 100 - 10 = 90 pounds

There should be 90 pounds of candy number 1 and 10 pounds of candy number 2.

90 pounds * 90 cents + 10 pounds * 40 cents = 8500 cents per 100 pounds

8500 cents / 100 pounds = 85 cents a pound