Question 908177
Quarters and half-dollars have the value of 25 cents and 50 cents each.

The number of half-dollars is 56 more and twice the number of quarters .
This would be written out as:

hd= 2q + 56 

To solve :

0.25q + 0.50 hd = 184.25

Since hd= 2q +56

0.25q + 0.50 hd       = 184.25
0.25q + 0.50 (2q +56) = 184.25
0.25q + q +  28       = 184.25
1.25 q                = 184.25 -28
1.25 q                = 156 .25
q                     = 125

If q= 125 quarters, then to find half-dollars :

hd= 2q + 56
hd= 2(125) + 56
hd= 250 + 56
hd= 306

To check :

125q + 306hd 
= 125 ( 0.25) + 306 ( 0.50)
= 31.25 + 153 
= 184.25