59 of Billy's savings comprised of 20-cent coins and 50-cent coins. Billy used some 20-cent coins to purchase a mini-helicopter. The number of 50-cent coins left was 25% more than the number of 20-cent coins left. Given that Billy had 80 more 50-cent coins than 20-cent coins left in the end, find the amount of money Billy spent on the mini-helicopter.
|
20-cent coins |
50-cent coins |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- 9 u |
|
After |
4x4 = 16 u |
5x4 = 20 u |
Fraction of Billy's savings that comprised of 50-cent coins
= 1 -
59=
49Number of 50-cents coins in the end in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same. LCM of 4 and 5 is 20.
Number of more 50-cent coins than 20-cent coins
= 20 u - 16 u
= 4 u
4 u = 80
1 u = 80 ÷ 4 = 20
Number of 20-cent coins spent on the mini-helicopter
= 25 u - 16 u
= 9 u
= 9 x 20
= 180
Amount that Billy spent on the mini-helicopter
= 180 x 0.2
= $36
Answer(s): $36