Question 148920: Audrey has 35 dimes and quarters in her piggy bank with a total value of $6.95. How many coins are dimes and how many are quarters? Found 2 solutions by nabla, mangopeeler07:Answer by nabla(475) (Show Source):
You can put this solution on YOUR website! Form this system of equations from the given:
d+q=35 (number of dimes plus number of quarters =35)
.1d+.25q=6.95 (number of dimes times their worth plus number of quarters times their worth= 6.95)
So, we can solve this a few ways. I will first multiply the second equation by 100.
d+q=35
10d+25q=695
Now, multiply the first equation by -10.
-10d-10q=-350
10d+25q=695
Now, add the two equations.
15q=345
q=23
If q=23,
d=35-23=12
So Audrey has 23 quarters and 12 dimes.
Check:
23(.25)+1.2=5.75+1.2=6.95.
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