Question 410530
Toni has a collection of dimes and quarters with a face value of $25.30.
 She has 27 more quarters than she has dimes.
 How many of each coin does she have?
:
Let d = no. of dimes
Let q = no. of quarters
:
Write an equation for each statement:
:
"a collection of dimes and quarters with a face value of $25.30."
.10d + .25q = 25.30
:
" has 27 more quarters than she has dimes."
q = d + 27
:
Replace q with (d+27) in the 1st equation:
.10d + .25(d+27) = 25.30
.10d + .25d + 6.75 = 25.30
.35d = 25.30 - 6.75
.35d = 18.55
d = {{{18.55/.25}}}
d = 53 dimes
:
Now you can find the number of quarters I'm sure
Check your values in the original 1st equation