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let d = no. of dimes
let q = no. of quarters
:
Write an equation for each statement
"Maria has $5.05 in quarters and dimes."
.10d + .25q = 5.05
" The number of quarters exceeds twice the number of dimes by 1."
q = 2d + 1
:
In the 1st equation replace q with (2d+1)
.10d + .25(2d+1) = 5.05
.10d + .50d + .25 = 5.05
.60d = 5.05 - .25
.60d = 4.80
d = 4.80/.60
d = 8 dimes
then
q = 2(8) + 1
q = 17 quarters
:
:
You can confirm this, replace d and q in the 1st equation
