A child has a bottle full of pennies, nickels, dimes, and quarters. There are four as many quarters as pennies, three times as many as nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than pennies?
A. 5 times as many
B. 10 times as many
C. 20 times as many
D. 15 times as many
Explanation:
In this question, we need to find the ratio of dimes to quarters.
If we let x be number of pennies in the bottle. Then,
Number of quarters in the bottle = 4x
Number of nickels in the bottle = 3x
Number of dimes in the bottle =5(3x)=15x
Now relating dimes to quarters, we have
Thus, there are 15 times as many dimes as pennies in the box.
Therefore, the Correct Answer is D.