1955 AMC 12 Problem 23

Question

In checking the petty cash a clerk counts

q

quarters,

d

dimes,

n

nickels, and

c

cents. Later he discovers that

x

of the nickels were counted as quarters and

x

of the dimes were counted as cents. To correct the total obtained the clerk must:

make no correction

subtract

11

¢

subtract

11x

¢

add

11x

¢

add

x

¢

Each nickel counted as a quarter makes the total too large by

20

¢

Each dime counted as a cent makes the total too small by

9

¢

The

x

nickels counted as quarters overstate the total by

20x

¢. The

x

dimes counted as cents understate it by

9x

¢. The net overstatement is

20x-9x=11x

cents, so that amount must be subtracted.

Thus, the correct answer is C.

Problem 23 in other years