SOLUTION: How can a bill of $6.00 be paid with half-dollars and quarters by using the same numbers of each? I understand the concept of the number of coins x value of coin = total value,

Question 1005392: How can a bill of $6.00 be paid with half-dollars and quarters by using the same numbers of each?
I understand the concept of the number of coins x value of coin = total value, but I don't know what to write for the equation if two numbers are said to be EQUAL VALUES, for example, I tried to write a term "h=q" to represent that the number of half-dollars equal the number of quarters. But when I put that into equation form, it does not make sense. What can I do to solve this properly?
Found 2 solutions by macston, addingup:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Q=number of quarters; H=number of half dollars=Q
.
$0.25Q+$0.50H=$6.00
And since H=Q:
$0.25Q+$0.50Q=$6.00
$0.75Q=$6.00
Q=8
ANSWER: There are 8 quarters and since there are
the same number of each, there are also 8 half dollars.

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
h= q the number of half dollar coins is equal to the number of quarter dollar coins
---------------
.5h+.25q= 6 Since we just said that h= q, substitute for h:
.5q+.25q= 6
.75q= 6
q= 8
--------------------
Proof:
8 half dollars: 4 dollars
8 quarters....: 2 dollars
_ _ _ _ _ _ _ _-----------
Total..........: 6 dollars we have the correct answer.

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