Question 174777
Q=5H OR H=Q/5
D=Q-200 OR Q=D+200
.50H+.25Q+.10D=205
.50(Q/5)+.25Q+.10(Q-200)=205
.10Q+.25Q+.10Q-20=205
.45Q=205+2-
.45Q=225
Q=225/.45
Q=500 ANS. FOR THE NUMBER OF QUARTERS.
500=5H
H=500/5
H=100 ANS FOR THE NUMBER OF HALVES.
D=500-200
D=300 ANS. FOR THE NUMBEROF DIMES.
PROOF:
.50*100+.25*500+.10*300=205
50+125+30=205
205=205