Answer:
Explanation:
Let's use variables to represent the unknown quantities in the problem.Let:
q be the number of quarters
d be the number of dimes
We can set up a system of two equations based on the given information:
Equation 1: The total value of the coins is $5.55:
0.25q + 0.10d = 5.55
Equation 2: The number of quarters is five less than three times the number of dimes:
q = 3d - 5
We can substitute the second equation into the first equation for q, since we now know that q = 3d - 5:0.25(3d - 5) + 0.10d = 5.55
Simplifying and solving for d:
0.75d - 1.25 + 0.10d = 5.550.85d = 6.80d = 8So Brandon has 8 dimes. To find the number of quarters, we can use Equation 2:
q = 3d - 5 = 3(8) - 5 = 19
Therefore, Brandon has 19 quarters and 8 dimes.