35 of Zeph's savings comprised of 10-cent coins and 20-cent coins. Zeph used some 10-cent coins to purchase a frisbee. The number of 20-cent coins left was 50% more than the number of 10-cent coins left. Given that Zeph had 4 more 20-cent coins than 10-cent coins left in the end, find the amount of money Zeph spent on the frisbee.
|
10-cent coins |
20-cent coins |
Before |
3x3 = 9 u |
2x3 = 6 u |
Change |
- 5 u |
|
After |
2x2 = 4 u |
3x2 = 6 u |
Fraction of Zeph's savings that comprised of 20-cent coins
= 1 -
35=
25Number of 20-cents coins in the end in percentage
= 100% + 50%
= 150%
150% =
150100 =
32Number of 20-cent coins remains unchanged. Make the number of 20-cent coins the same. LCM of 2 and 3 is 6.
Number of more 20-cent coins than 10-cent coins
= 6 u - 4 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
Number of 10-cent coins spent on the frisbee
= 9 u - 4 u
= 5 u
= 5 x 2
= 10
Amount that Zeph spent on the frisbee
= 10 x 0.1
= $1
Answer(s): $1