78 of Oscar's savings comprised of 5-cent coins and 20-cent coins. Oscar used some 5-cent coins to purchase a frisbee. The number of 20-cent coins left was 40% more than the number of 5-cent coins left. Given that Oscar had 30 more 20-cent coins than 5-cent coins left in the end, find the amount of money Oscar spent on the frisbee.
|
5-cent coins |
20-cent coins |
Before |
7x7 = 49 u |
1x7 = 7 u |
Change |
- 44 u |
|
After |
5x1 = 5 u |
7x1 = 7 u |
Fraction of Oscar's savings that comprised of 20-cent coins
= 1 -
78=
18Number 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 5-cent coins
= 7 u - 5 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of 5-cent coins spent on the frisbee
= 49 u - 5 u
= 44 u
= 44 x 15
= 660
Amount that Oscar spent on the frisbee
= 660 x 0.05
= $33
Answer(s): $33