1.
T = Total money in your backpack = $0.80
x = Number of dimes
y = Number of quarters = 2
T = $0.1x + $0.25y
Replacing the data provided:
0.8 = 0.1x + 0.25(2)
0.8 = 0.1x + 0.5
Solving for x:
Subtract 0.5 from both sides:
0.8 - 0.5 = 0.1x + 0.5 - 0.5
0.3 = 0.1x
Divide both sides by 0.1:
0.3/0.1 = 0.1x/0.1
3 = x
So, you have 3 dimes