Question

You have a piggy bank containing a total of 64 coins in dimes and quarters. If the piggy bank contains $9.55, how many dimes are there in the piggy bank?

Answer 1

The number of dimes in the piggy bank is 43.

System of equation required to determine the answer

Two equations can be derived from the question:

d + q = 64 equation 1

0.1d + 0.25q = $9.55 equation 2

Where:

d = Dime = $0.1

q = quarters = $0.25

Determining the number of dimes

In order to determine the number of dimes, multiply equation 1 by 0.25

0.25d + 0.25q = 16 equation 3

Subtract  equation 2 from  equation 3

0.15d = 6.45

Divide both sides by 0.15

d = 43

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552