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Can you take this math question?
2017-05-27 7:52 pm
A grocer wants to mix two kinds of coffee. One kind sells for $0.85 per pound, and the other sells for $2.70 per pound. He wants to mix a total of 21 pounds and sell it for $0.95 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
回答 (1)
2017-05-27 8:03 pm
Let y pounds be the weight of coffee sold for $0.85 per pound.
Then, weight of coffee sold for $2.70 per pound = (21 - y) pounds.
Total cost of the mixed coffee :
0.85y + 2.70(21 - y) = 0.95*21
0.85y + 56.70 - 2.7y = 19.95
1.85y = 36.75
y = 19.86 (to the nearest 0.01)
21 - y = 1.14
Weight of the coffee sold for $0.85 per pound = 19.86 pounds
Weight of the coffee sold for $2.70 per pound = 1.14 pounds
Then, weight of coffee sold for $2.70 per pound = (21 - y) pounds.
Total cost of the mixed coffee :
0.85y + 2.70(21 - y) = 0.95*21
0.85y + 56.70 - 2.7y = 19.95
1.85y = 36.75
y = 19.86 (to the nearest 0.01)
21 - y = 1.14
Weight of the coffee sold for $0.85 per pound = 19.86 pounds
Weight of the coffee sold for $2.70 per pound = 1.14 pounds
收錄日期: 2021-04-18 16:59:57
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