SOLUTION: Joseph has 4 times as many quarters as he does dimes. If he has a total of $2.20, how many of each type of coin does he have?

Question 62151: Joseph has 4 times as many quarters as he does dimes. If he has a total of $2.20, how many of each type of coin does he have?
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
Joseph has 4 times as many quarters as he does dimes. If he has a total of $2.20, how many of each type of coin does he have?
Joseph has Q quarters and D dimes.
We know that .
We know Joseph has 220 cents, so .
Replace Q with 4D, and we get .
Or, .
So, .
He has 2 dimes and 4 times as many quarters or 8 quarters.
To verify:
2 dimes + 8 quarters = 20 cents + 200 cents = 220 cents = $2.20.
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