Question 994994
let quarters=x
dimes are x+143
nickels are 2x
pennies are 25x +17.

.25x+ (.10)(x+143)+(.05)(2x)+(.01)(25x +17)=31.97
.25x+.10x+14.3+.10x+.25x+0.17=31.97
0.7x+14.47=31.97, collecting terms
0.7x=17.50
x=25 quarters (6.25)
x+25=168 dimes (16.80)
2x=50 nickels (2.50)
25x+17=642 pennies (6.42)
These add up to $31.97