Bunuel wrote:
An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 20 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
A. 1305
B. 1345
C. 1375
D. 1415
E. 1455
Solution:
We see that Company X received 60 x 0.2 = 12 packages of gaskets, Company Y 60 x 0.15 = 9 packages, and Company Z 60 - 12 - 9 = 39 packages. Since both companies X and Z ordered more than 10 packages, each package in excess of 10 was charged 25 x 4/5 = $20. Therefore, the total amount of money the supplier received from the three companies is:
(25 x 10 + 20 x 2) + (25 x 9) + (25 x 10 + 20 x 29)
290 + 225 + 830 = $1345
Answer: B _________________
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