Final answer:
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.