34 of Jenson's savings comprised of 5-cent coins and 50-cent coins. Jenson used some 5-cent coins to purchase a basketball set. The number of 50-cent coins left was 40% more than the number of 5-cent coins left. Given that Jenson had 10 more 50-cent coins than 5-cent coins left in the end, find the amount of money Jenson spent on the basketball set.
|
5-cent coins |
50-cent coins |
Before |
3x7 = 21 u |
1x7 = 7 u |
Change |
- 16 u |
|
After |
5x1 = 5 u |
7x1 = 7 u |
Fraction of Jenson's savings that comprised of 50-cent coins
= 1 -
34=
14Number 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 1 and 7 is 7.
Number of more 50-cent coins than 5-cent coins
= 7 u - 5 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Number of 5-cent coins spent on the basketball set
= 21 u - 5 u
= 16 u
= 16 x 5
= 80
Amount that Jenson spent on the basketball set
= 80 x 0.05
= $4
Answer(s): $4