Answer: x = 8 <-----the number of dimes
4(x) = 4(8) = 32 <---the number of quarters.
Step-by-step explanation: First, let's set up some expressions for the problem, okay?
Dimes = x
Quarters = 4x
When thinking of the problem, it is helpful to remember the currency, meaning a dime is .10 and a quarter is .25, of a dollar.
Therefore, .10x + .25(4x) = 8.80
Do you see how we arrived at this equation given the information I provided you? Now, let's take that equation and begin simplifying it, okay?
.10(x) + 1.00(x) = 8.80
.10x + x = 8.80
1.10x = 8.80
x = 8 <-----the number of dimes
4(x) = 4(8) = 32 <---the number of quarters.
Now let's check our work, okay?
.10 (8) = .80
.25(32)=8.00
-----------------
$8.80
The solution checks out.