58 of Cole's savings comprised of 5-cent coins and 50-cent coins. Cole used some 5-cent coins to purchase a toy figurine. The number of 50-cent coins left was 40% more than the number of 5-cent coins left. Given that Cole had 90 more 50-cent coins than 5-cent coins left in the end, find the amount of money Cole spent on the toy figurine.
|
5-cent coins |
50-cent coins |
Before |
5x7 = 35 u |
3x7 = 21 u |
Change |
- 20 u |
|
After |
5x3 = 15 u |
7x3 = 21 u |
Fraction of Cole's savings that comprised of 50-cent coins
= 1 -
58=
38Number 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 3 and 7 is 21.
Number of more 50-cent coins than 5-cent coins
= 21 u - 15 u
= 6 u
6 u = 90
1 u = 90 ÷ 6 = 15
Number of 5-cent coins spent on the toy figurine
= 35 u - 15 u
= 20 u
= 20 x 15
= 300
Amount that Cole spent on the toy figurine
= 300 x 0.05
= $15
Answer(s): $15