Question

The system below represents

the total amount and value of a
certain number of quarters, q.
and dimes, d, in a piggy bank.
q+d=44
0.25q + 0.10d = 6.50
How many quarters are in the
piggy bank?

Answer 1

To find the number of quarters in the piggy bank, we can solve the system of equations using the method of elimination. There are 14 quarters in the piggy bank.

Step-by-step explanation:

To find the number of quarters in the piggy bank, we can use the system of equations:

q + d = 44

0.25q + 0.10d = 6.50

We can solve this system using the method of substitution or elimination. Let's use the method of elimination:

Multiply the first equation by 0.10 to make the coefficients of d match: 0.10q + 0.10d = 4.40

Subtract the second equation from the modified first equation: (0.10q + 0.10d) - (0.25q + 0.10d)

= 4.40 - 6.50

Combine like terms and solve for q: -0.15q = -2.10

=> q = -2.10 / -0.15

= 14

Therefore, there are 14 quarters in the piggy bank.