Solving Problems Involving Coins

Question

Raven has a change jar that contains $18.00 in half dollars and dimes. The number of half dollars is 14 more than two times the number of dimes. How many of each type of coin does she have?

Answer 1

50H + 10D = 1800

H= 14+2D

50(14+2D) + 10D = 1800

700 + 100D + 10D = 1800

110D = 1100

D = 1100/110= 10 Dimes

H = 14+20= 34 Half Dollars