Answer:
D. $25
Explanation:
From the information given, you can write the following equations:
d+q=162
0.10d+0.25q= 31.20
First, you have to isolate one of the variables in the first equation:
d=162-q
Then, you have to replace d in the second equation and solve to find the quantity of quarters, q:
0.10(162-q)+0.25q= 31.20
16.2-0.10q+0.25q= 31.20
0.15q= 15
q= 100
d=162-100= 62
Now, that the quatities of dimes and quarters were found, you can determine the amount you have in dimes and quarters:
Amount in quarters= 0.25*100= $25
Amount in dimes= 0.10*62= $6.2
