23 of Nick's savings comprised of 20-cent coins and 10-cent coins. Nick used some 20-cent coins to purchase a glowstick. The number of 10-cent coins left was 40% more than the number of 20-cent coins left. Given that Nick had 40 more 10-cent coins than 20-cent coins left in the end, find the amount of money Nick spent on the glowstick.
|
20-cent coins |
10-cent coins |
Before |
2x7 = 14 u |
1x7 = 7 u |
Change |
- 9 u |
|
After |
5x1 = 5 u |
7x1 = 7 u |
Fraction of Nick's savings that comprised of 10-cent coins
= 1 -
23=
13Number of 10-cents coins in the end in percentage
= 100% + 40%
= 140%
140% =
140100 =
75Number of 10-cent coins remains unchanged. Make the number of 10-cent coins the same. LCM of 1 and 7 is 7.
Number of more 10-cent coins than 20-cent coins
= 7 u - 5 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of 20-cent coins spent on the glowstick
= 14 u - 5 u
= 9 u
= 9 x 20
= 180
Amount that Nick spent on the glowstick
= 180 x 0.2
= $36
Answer(s): $36