59 of Tommy's savings comprised of 5-cent coins and 50-cent coins. Tommy used some 5-cent coins to purchase a flying saucer. The number of 50-cent coins left was 50% more than the number of 5-cent coins left. Given that Tommy had 80 more 50-cent coins than 5-cent coins left in the end, find the amount of money Tommy spent on the flying saucer.
|
5-cent coins |
50-cent coins |
Before |
5x3 = 15 u |
4x3 = 12 u |
Change |
- 7 u |
|
After |
2x4 = 8 u |
3x4 = 12 u |
Fraction of Tommy's savings that comprised of 50-cent coins
= 1 -
59=
49Number of 50-cents coins in the end in percentage
= 100% + 50%
= 150%
150% =
150100 =
32Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same. LCM of 4 and 3 is 12.
Number of more 50-cent coins than 5-cent coins
= 12 u - 8 u
= 4 u
4 u = 80
1 u = 80 ÷ 4 = 20
Number of 5-cent coins spent on the flying saucer
= 15 u - 8 u
= 7 u
= 7 x 20
= 140
Amount that Tommy spent on the flying saucer
= 140 x 0.05
= $7
Answer(s): $7