57 of Billy's savings comprised of 10-cent coins and 50-cent coins. Billy used some 10-cent coins to purchase a board game. The number of 50-cent coins left was 40% more than the number of 10-cent coins left. Given that Billy had 8 more 50-cent coins than 10-cent coins left in the end, find the amount of money Billy spent on the board game.
|
10-cent coins |
50-cent coins |
Before |
5x7 = 35 u |
2x7 = 14 u |
Change |
- 25 u |
|
After |
5x2 = 10 u |
7x2 = 14 u |
Fraction of Billy's savings that comprised of 50-cent coins
= 1 -
57=
27Number of 50-cents coins in the end in percentage
= 100% + 40%
= 140%
140% =
140100 =
75Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same. LCM of 2 and 7 is 14.
Number of more 50-cent coins than 10-cent coins
= 14 u - 10 u
= 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Number of 10-cent coins spent on the board game
= 35 u - 10 u
= 25 u
= 25 x 2
= 50
Amount that Billy spent on the board game
= 50 x 0.1
= $5
Answer(s): $5