710 of Xavier's savings comprised of 5-cent coins and 20-cent coins. Xavier used some 5-cent coins to purchase a glowstick. The number of 20-cent coins left was 25% more than the number of 5-cent coins left. Given that Xavier had 60 more 20-cent coins than 5-cent coins left in the end, find the amount of money Xavier spent on the glowstick.
|
5-cent coins |
20-cent coins |
Before |
7x5 = 35 u |
3x5 = 15 u |
Change |
- 23 u |
|
After |
4x3 = 12 u |
5x3 = 15 u |
Fraction of Xavier's savings that comprised of 20-cent coins
= 1 -
710=
310Number of 20-cents coins in the end in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of 20-cent coins remains unchanged. Make the number of 20-cent coins the same. LCM of 3 and 5 is 15.
Number of more 20-cent coins than 5-cent coins
= 15 u - 12 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of 5-cent coins spent on the glowstick
= 35 u - 12 u
= 23 u
= 23 x 20
= 460
Amount that Xavier spent on the glowstick
= 460 x 0.05
= $23
Answer(s): $23