SOLUTION: Samantha has 9 coins worth a total of $1.35, which consist only of dimes and quarters. How many of each does she have?.

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Question 1119566: Samantha has 9 coins worth a total of $1.35, which consist only of dimes and quarters. How many of each does she have?.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let d = no. of dimes
let q = no. of quarters
:
Write an equation for each phrase
:
"Samantha has 9 coins"
d + q = 9
" worth a total of $1.35,"
.10d + .25q = 1.35
multiply equation by 10
1d + 2.5q = 13.5
:
use elimination with these two equations
d + 2.5q = 13.5
d + q = 9
-------------------subtraction eliminates d, find q
0 + 1.5q = 4.5
q = 4.5/1.5
q = 3 quarters
therefore
d + 3 = 9
d = 6 dimes
:
;
Check
3*.25 = .75
6*.10 = .60
-------------
total $ 1.35