1993 AMC 12 Problem 5

Attempt Problem 5 of the 1993 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1993 AMC 12 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

Last year a bicycle cost

\$160

and a cycling helmet cost

\$40.

This year the cost of the bicycle increased by

5\%,

and the cost of the helmet increased by

10\%.

The percent increase in the combined cost of the bicycle and the helmet is

6\%

7\%

7.5\%

8\%

15\%

Find the dollar increase for each item

Compare the total increase with last year’s combined cost

The bicycle increases by

\$8

and the helmet by

\$4,

for a total increase of

\$12.

Last year’s combined cost was

\$200,

so the percent increase is

\frac{12}{200}\cdot100\%=6\%.

Thus the correct answer is A.

Problem 5 in other years