57 of Glen's savings comprised of 20-cent coins and 50-cent coins. Glen used some 20-cent coins to purchase a flying saucer. The number of 50-cent coins left was 40% more than the number of 20-cent coins left. Given that Glen had 36 more 50-cent coins than 20-cent coins left in the end, find the amount of money Glen spent on the flying saucer.
|
20-cent coins |
50-cent coins |
Before |
5x7 = 35 u |
2x7 = 14 u |
Change |
- 25 u |
|
After |
5x2 = 10 u |
7x2 = 14 u |
Fraction of Glen's savings that comprised of 50-cent coins
= 1 -
57=
27Number of 50-cents coins in the end in percentage
= 100% + 40%
= 140%
140% =
140100 =
75Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same. LCM of 2 and 7 is 14.
Number of more 50-cent coins than 20-cent coins
= 14 u - 10 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Number of 20-cent coins spent on the flying saucer
= 35 u - 10 u
= 25 u
= 25 x 9
= 225
Amount that Glen spent on the flying saucer
= 225 x 0.2
= $45
Answer(s): $45