58 of Vincent's savings comprised of 20-cent coins and 10-cent coins. Vincent used some 20-cent coins to purchase a board game. The number of 10-cent coins left was 25% more than the number of 20-cent coins left. Given that Vincent had 60 more 10-cent coins than 20-cent coins left in the end, find the amount of money Vincent spent on the board game.
|
20-cent coins |
10-cent coins |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- 13 u |
|
After |
4x3 = 12 u |
5x3 = 15 u |
Fraction of Vincent's savings that comprised of 10-cent coins
= 1 -
58=
38Number of 10-cents coins in the end in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of 10-cent coins remains unchanged. Make the number of 10-cent coins the same. LCM of 3 and 5 is 15.
Number of more 10-cent coins than 20-cent coins
= 15 u - 12 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of 20-cent coins spent on the board game
= 25 u - 12 u
= 13 u
= 13 x 20
= 260
Amount that Vincent spent on the board game
= 260 x 0.2
= $52
Answer(s): $52