SOLUTION: I also don't get how to solve this problem. It would be appreciated if you can show the steps for the answer. THANKS! Chris has a jar with dimes and quarters in it. The jar has

Algebra ->  Linear-equations -> SOLUTION: I also don't get how to solve this problem. It would be appreciated if you can show the steps for the answer. THANKS! Chris has a jar with dimes and quarters in it. The jar has       Log On


   

Question 590627: I also don't get how to solve this problem. It would be appreciated if you can show the steps for the answer. THANKS!
Chris has a jar with dimes and quarters in it. The jar has 7 more quarters in it than it has dimes. If the total value of the coin is $5.60, how many quarters are in the jar?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Chris has a jar with dimes and quarters in it.
The jar has 7 more quarters in it than it has dimes.
If the total value of the coin is $5.60, how many quarters are in the jar?
:
Let d = no. of dimes
Let q = no. of quarters
:
Write an equation representing what each statement says:
:
"The jar has 7 more quarters in it than it has dimes."
q = d + 7
:
"If the total value of the coin is $5.60,"
.10d + .25q = 5.60
:
from the 1st equation; replace q with (d+7) in the above equation
.10d + .25(d+7) = 5.60
.10d + .25d + 1.75 = 5.60
.35d = 5.60 - 1.75
.35d = 3.85
d = 3.85%2F.35
d = 11 dimes
:
"how many quarters are in the jar?
:
Now you can find the number of quarters using the 1st equation
Check you solution in the 2nd equation



how many quarters are in the jar?