An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packages

Question

An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packages of gaskets, the supplier charges $\dfrac45$ 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 Answer: B Source: Princeton Review

swerve · Answer

VJesus12 wrote: ↑Sun Mar 07, 2021 2:14 pm An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packages of gaskets, the supplier charges $\dfrac45$ 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 Answer: B Source: Princeton Review No. of products to $X = 20\%$ of $60 =12$ No. of products to $Y = 15\%$ of $60 = 9$ No. of products to $Z = 39$ Dollars form $X = 10\cdot25 + 2\cdot \dfrac{4}{5}\cdot 25 = 290$ Dollars from $Y = 9 \cdot 25= 225$ Dollars from $Z = 10\cdot 25+29\cdot \dfrac{4}{5}\cdot 25 = 830$ Total dollars $= 290+225+830=1345$ Therefore, B

Scott@TargetTestPrep · Answer

VJesus12 wrote: ↑Sun Mar 07, 2021 2:14 pm An automobile parts supplier charges $\$25$ per package of gaskets. When a customer orders more than $10$ packages of gaskets, the supplier charges $\dfrac45$ 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 Answer: B 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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An automobile parts supplier charges \(\$25\) per package of gaskets. When a customer orders more than \(10\) packages

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