Question

The ratio of nickels to dimes in a piggy bank is 7:11. If there are a total of 90 nickels and dimes in the piggy bank, how many of them would you expect to be dimes?

A) 35

B) 45

C) 55

D) 65

Answer 1

Using the ratio of nickels to dimes (7:11) and the total number of coins (90), we found that there are 55 dimes in the piggy bank.

Step-by-step explanation:

To find the number of dimes in the piggy bank, we can use the given ratio of nickels to dimes, which is 7:11. There are a total of 90 coins, which are the sum of nickels and dimes. Let's denote the number of nickels as 7x and the number of dimes as 11x, where x is the number of groups in the ratio. The equation we can set up is:

7x + 11x = 90

Solving for x:

18x = 90

x = 5

Now, we can find the number of dimes:

11x = 11 × 5 = 55

Therefore, you would expect to find 55 dimes in the piggy bank.