SOLUTION: a coin bank contains twenty-two coins in nickes, dimes and quarters . there are four times as many dimes and quarters. the value of the coins is $2.30 how many dimes are in the ba

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Question 125232: a coin bank contains twenty-two coins in nickes, dimes and quarters . there are four times as many dimes and quarters. the value of the coins is $2.30 how many dimes are in the bank
ps: i don't understand when it askme "there are four times as many dimes and quarters

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
"There are four times as many dimes and quarters." This looks
like a misprint. It should read:
"There are four times as many dimes AS quarters."
Let n= number of nickels
Let d= number of dimes
Let q= number of quarters
5n+%2B+10d+%2B+25q+=+230
n+%2B+d+%2B+q+=+22
d+=+4q
My approach would be to get the 1st equation in terms of
nickels and quarters only. I will multiply both sides of
the 2nd equation by -5 and add them
-5n+-5d+-5q+=+-110
5n+%2B+10d+%2B+25q+=+230
5d+%2B+20q+=+120
Now substitute the 3rd equation for d
5%2A%284q%29+%2B+20q+=+120
40q+=+120
q+=+3
d+=+4q
d+=+4%2A3
d+=+12
Ther are 12 dimes in the bank
check:
n+%2B+d+%2B+q+=+22
n+%2B+12+%2B+3+=+22
n+=+7
5n+%2B+10d+%2B+25q+=+230
5%2A7+%2B+10%2A12+%2B+25%2A3+=+230
35+%2B+120+%2B+75+=+230
230+=+230
OK