Question 1162718
Number of quarters = q
Number of nickels = n
<pr>
q + n = 89
0.25q + 0.05n = 13.45
<pr>
Multiply first equation by -0.05:
<pr>
-0.05q - 0.05n = -4.45
0.25q + 0.05n = 13.45
<pr>
Add both equations together and solve for q:
<pr>
0.20q = 9
<pr>
q = 45
<pr>
Since q = 45...and q + n = 89...that means n = 44.
<pr>
Number of quarters = q = <b>45</b>
Number of nickels = n = <b>44</b>