Kesha had only pennies and dimes in her change purse. When she counted out her change, she had 64¢. If she had 6 times as many pennies as dimes, how many pennies did she have?
A
4 pennies
B
14 pennies
C
24 pennies
D
34 pennies
C. 24 pennies
Let:
P = number of pennies
D = number of dimes
Given:
P + D = 64¢ (total change)
P = 6D (6 times as many pennies as dimes)
Substitute the equation for P into the total change equation:
6D + D = 64
7D = 64
D = 64 / 7
D = 9
Now plug D back into the equation P = 6D:
P = 6 * 9
P = 54
Therefore, Kesha had 54 pennies and 9 dimes, for a total of 64¢. She had 24 pennies.