56 of Mark's savings comprised of 20-cent coins and 50-cent coins. Mark used some 20-cent coins to purchase a toy figurine. The number of 50-cent coins left was 40% more than the number of 20-cent coins left. Given that Mark had 22 more 50-cent coins than 20-cent coins left in the end, find the amount of money Mark spent on the toy figurine.
|
20-cent coins |
50-cent coins |
Before |
5x7 = 35 u |
1x7 = 7 u |
Change |
- 30 u |
|
After |
5x1 = 5 u |
7x1 = 7 u |
Fraction of Mark's savings that comprised of 50-cent coins
= 1 -
56=
16Number 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 1 and 7 is 7.
Number of more 50-cent coins than 20-cent coins
= 7 u - 5 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of 20-cent coins spent on the toy figurine
= 35 u - 5 u
= 30 u
= 30 x 11
= 330
Amount that Mark spent on the toy figurine
= 330 x 0.2
= $66
Answer(s): $66