SAT Math Multiple Choice Question 37: Answer and Explanation

Test Information

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

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).