SOLUTION: A child is collecting state quarters and new $1 coins. If she has a total of 18 coins, and the number of quarters is 6 more than the number of dollar coins, how many of each type o

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A child is collecting state quarters and new $1 coins. If she has a total of 18 coins, and the number of quarters is 6 more than the number of dollar coins, how many of each type o      Log On

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Question 1127081: A child is collecting state quarters and new $1 coins. If she has a total of 18 coins, and the number of quarters is 6 more than the number of dollar coins, how many of each type of coin doe she have?
She has ___ quarters
She has ___ dollar coins

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let’s dollar coins be d quarters q
if she has a total of 18 coins, we have
d%2Bq=18......eq.1
since given that the number of quarters is 6+ more than the number of dollar coins,we have
q=d%2B6
d%2Bd%2B6=18
2d=18-6
2d=12
d=6-> the number of dollar coins
q=d%2B6=6%2B6=12->the number of quarters

She has _12__ quarters
She has __ 6_ dollar coins