35 of Asher's savings comprised of 20-cent coins and 50-cent coins. Asher used some 20-cent coins to purchase a yoyo. The number of 50-cent coins left was 40% more than the number of 20-cent coins left. Given that Asher had 40 more 50-cent coins than 20-cent coins left in the end, find the amount of money Asher spent on the yoyo.
|
20-cent coins |
50-cent coins |
Before |
3x7 = 21 u |
2x7 = 14 u |
Change |
- 11 u |
|
After |
5x2 = 10 u |
7x2 = 14 u |
Fraction of Asher's savings that comprised of 50-cent coins
= 1 -
35=
25Number 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 = 40
1 u = 40 ÷ 4 = 10
Number of 20-cent coins spent on the yoyo
= 21 u - 10 u
= 11 u
= 11 x 10
= 110
Amount that Asher spent on the yoyo
= 110 x 0.2
= $22
Answer(s): $22