If Abishag owns 18 quinces and 5 kumquats and if the price of kumquats is 6 times the price of quinces, how many kumquats can she afford if she buys as many kumquats as she can?
A)5.
B)23
C)16
D)8
E)5

Question

Quizplus · Accepted Answer

If Abishag buys one kumquat, she would have to pay 6 times the price of a quince. Hence, she would need to pay for 6 quinces in order to buy one kumquat.
Let the price of one quince be 1 unit. Then, the price of one kumquat would be 6 units.
Therefore, if she buys 2 kumquats, she would need to pay for 12 quinces. If she buys 3 kumquats, she would need to pay for 18 quinces, which is all the quinces she has. Hence, the maximum number of kumquats she can afford is 3. However, we are asked for "as many kumquats as she can," so the answer is 2+2+2+2+2+2+2+2=16 . Therefore, the best choice is D.

If Abishag Owns 18 Quinces and 5 Kumquats and If