56 of Ken's savings comprised of 5-cent coins and 20-cent coins. Ken used some 5-cent coins to purchase a mini-helicopter. The number of 20-cent coins left was 40% more than the number of 5-cent coins left. Given that Ken had 12 more 20-cent coins than 5-cent coins left in the end, find the amount of money Ken spent on the mini-helicopter.
|
5-cent coins |
20-cent coins |
Before |
5x7 = 35 u |
1x7 = 7 u |
Change |
- 30 u |
|
After |
5x1 = 5 u |
7x1 = 7 u |
Fraction of Ken's savings that comprised of 20-cent coins
= 1 -
56=
16Number 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 = 12
1 u = 12 ÷ 2 = 6
Number of 5-cent coins spent on the mini-helicopter
= 35 u - 5 u
= 30 u
= 30 x 6
= 180
Amount that Ken spent on the mini-helicopter
= 180 x 0.05
= $9
Answer(s): $9