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A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells for 40 cents per pound. How many pounds of eac
Question
A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells
for 40 cents per pound. How many pounds of each kind must he use to make 50
pounds he can sell for 85 cents per pound?
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Mathematics
3 years
2021-09-03T18:41:13+00:00
2021-09-03T18:41:13+00:00 1 Answers
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Answers ( )
Given:
Candy x = 0.90 per pound
Candy y = 0.40 per pound
100 pounds * 0.85 per pound = 85
x + y = 100
0.90x + 0.40y = 85
x = 100 – y
0.90(100 – y) + 0.40y = 85
90 – 0.90y + 0.40y = 85
-0.50y = 85 – 90
y = -5 / -0.50
y = 10
x = 100 – y
x = 100 – 10
x = 90
0.90x + 0.40y = 85
0.90(90) + 0.40(10) = 85
81 + 4 = 85
85 = 85