Let the number of quarters be x Then the number of nickels, is x+16 Value Value Type Number of of of of EACH ALL coin coins coin coins ------------------------------------------- nickel x+16 $0.05 $0.05(x+16) quarter x $0.25 $0.25x ------------------------------------------- TOTALS $5.90 The equation comes from the column on the right0.05(x+16) + 0.25x = 5.90 Get rid of decimals by multiplying every term by 100 5(x+16) + 25x = 590 5x + 80 + 25x = 590 30x = 510 x = 17 = the number of quarters The number of quarter is x+16 or 17+16 or 33 nickels Checking: 17 quarters = 17*$0.25 = $4.25 33 nickels = 33*$0.05 = 1.65 ------------------------------ TOTAL = 5.90 Edwin