SOLUTION: John has a bag of dimes and quarters. If there are a total of 30 coins in the bag worth $5.55, how many dimes and how many quarters does john have?
Algebra ->
Customizable Word Problem Solvers
-> Coins
-> SOLUTION: John has a bag of dimes and quarters. If there are a total of 30 coins in the bag worth $5.55, how many dimes and how many quarters does john have?
Log On
Question 885276: John has a bag of dimes and quarters. If there are a total of 30 coins in the bag worth $5.55, how many dimes and how many quarters does john have? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! John has a bag of dimes and quarters. If there are a total of 30 coins in the bag worth $5.55, how many dimes and how many quarters does john have?
Let d = dimes
and q = quarters
then
d + q = 30 (eq 1)
.10d + .25q = 5.55 (eq 2)
solve eq 1 for d:
d = 30-q
substitute into eq 2:
.10(30-q) +.25q = 5.55
3 - .10q + .25q = 5.55
3 + .15q = 5.55
.15q = 2.55
q = 17 (quarters)
.
dimes:
d + 17 = 30
d = 13
