SAT Math Multiple Choice Question 37: Answer and Explanation

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Question: 37

7.

 SPICE PRICES OF DISTRIBUTOR D
 Spice Price Per Pound
 Cinnamon$8.00
 Nutmeg$9.00
 Ginger$7.00
 Cloves$10.00

The owner of a spice store buys 3 pounds each of cinnamon, nutmeg, ginger, and cloves from distributor D. She then sells all of the spices at $2.00 per ounce. What is her total profit, in dollars?

(1 pound = 16 ounces)

  • A. $192
  • B. $282
  • C. $384
  • D. $486

Correct Answer: B

Explanation:

B This is a hard question, so you have to stay on your toes. If the owner buys 3 pounds of each spice, that means she pays the following amounts for each spice:

cinnamon: $8 × 3 = $24

nutmeg: $9 × 3 = $27

ginger: $7 × 3 = $21

cloves: $10 × 3 = $30

So she pays a total of 24 + 27 + 21 + 30, or $102 for 12 pounds of spices. She then sells the spices per ounce, so you have to figure out first how many ounces of spices she has. If 1 pound is 16 ounces, then 12 pounds is 12 × 16, or 192 ounces. She sells all the spices at $2 per ounce, so she makes 192 × $2, or $384. To figure out her profit, subtract the amount she paid for the spices from the amount she made selling them: $384 - $102 = $282, (B).

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