59 of Jenson's savings comprised of 20-cent coins and 50-cent coins. Jenson used some 20-cent coins to purchase a board game. The number of 50-cent coins left was 50% more than the number of 20-cent coins left. Given that Jenson had 60 more 50-cent coins than 20-cent coins left in the end, find the amount of money Jenson spent on the board game.
|
20-cent coins |
50-cent coins |
Before |
5x3 = 15 u |
4x3 = 12 u |
Change |
- 7 u |
|
After |
2x4 = 8 u |
3x4 = 12 u |
Fraction of Jenson's savings that comprised of 50-cent coins
= 1 -
59=
49Number of 50-cents coins in the end in percentage
= 100% + 50%
= 150%
150% =
150100 =
32Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same. LCM of 4 and 3 is 12.
Number of more 50-cent coins than 20-cent coins
= 12 u - 8 u
= 4 u
4 u = 60
1 u = 60 ÷ 4 = 15
Number of 20-cent coins spent on the board game
= 15 u - 8 u
= 7 u
= 7 x 15
= 105
Amount that Jenson spent on the board game
= 105 x 0.2
= $21
Answer(s): $21