34 of Harry's savings comprised of 10-cent coins and 20-cent coins. Harry used some 10-cent coins to purchase a board game. The number of 20-cent coins left was 40% more than the number of 10-cent coins left. Given that Harry had 30 more 20-cent coins than 10-cent coins left in the end, find the amount of money Harry spent on the board game.
|
10-cent coins |
20-cent coins |
Before |
3x7 = 21 u |
1x7 = 7 u |
Change |
- 16 u |
|
After |
5x1 = 5 u |
7x1 = 7 u |
Fraction of Harry's savings that comprised of 20-cent coins
= 1 -
34=
14Number of 20-cents coins in the end in percentage
= 100% + 40%
= 140%
140% =
140100 =
75Number of 20-cent coins remains unchanged. Make the number of 20-cent coins the same. LCM of 1 and 7 is 7.
Number of more 20-cent coins than 10-cent coins
= 7 u - 5 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of 10-cent coins spent on the board game
= 21 u - 5 u
= 16 u
= 16 x 15
= 240
Amount that Harry spent on the board game
= 240 x 0.1
= $24
Answer(s): $24