Answer:
35 quarters
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
We write the first equation in terms of q by subtracting it across the equal sign to get [tex]d=60-q[/tex]. We now substitute this for d in the second equation.
[tex]0.10(60-q)+0.25q=11.25\\6-0.10q+0.25q=11.25\\6+0.15q=11.25[/tex]
After simplifying, we subtract 6 across and divide by the coefficient of q.
[tex]6+0.15q=11.25\\0.15q=5.25\\q=35[/tex]
We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.
