SOLUTION: If Zaire has 4 times as many quarters as dimes and they have a combined value of $4.40, how many of each coin does he have?

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Question 1205418: If Zaire has 4 times as many quarters as dimes and they have a combined value of $4.40, how many of each coin does he have?
Found 4 solutions by ikleyn, MathLover1, Edwin McCravy, josgarithmetic:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
If Zaire has 4 times as many quarters as dimes and they have a combined value
of $4.40, how many of each coin does he have?
~~~~~~~~~~~~~~~~~~~~~~ 

Group the coins in sets containing 4 quarters and 1 dime.

Each group is worth 4*25 + 10 = 110 cents.


In all, there are   =  4 such groups.


ANSWER.  There are 4*4 = 16 quarters and 4 dimes.

Solved.

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Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


let quarters be and dimes
if Zaire has times as many quarters as dimes, we have
....eq.1
if a combined value of $,we have
...eq.2, substitute from eq.1
....solve for



go to
....eq.1, substitute


Zaire has quarters and dimes.

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
1 group of 4 quarters and 1 dime is worth $1.10.
$4.40 is 4 of those groups. 

So there are 4x4=16 quarters and 1x4=4 dimes.

Edwin
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

and





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