79 of Japheth's savings comprised of 20-cent coins and 10-cent coins. Japheth used some 20-cent coins to purchase a doll set. The number of 10-cent coins left was 25% more than the number of 20-cent coins left. Given that Japheth had 10 more 10-cent coins than 20-cent coins left in the end, find the amount of money Japheth spent on the doll set.
|
20-cent coins |
10-cent coins |
Before |
7x5 = 35 u |
2x5 = 10 u |
Change |
- 27 u |
|
After |
4x2 = 8 u |
5x2 = 10 u |
Fraction of Japheth's savings that comprised of 10-cent coins
= 1 -
79=
29Number of 10-cents coins in the end in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of 10-cent coins remains unchanged. Make the number of 10-cent coins the same. LCM of 2 and 5 is 10.
Number of more 10-cent coins than 20-cent coins
= 10 u - 8 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Number of 20-cent coins spent on the doll set
= 35 u - 8 u
= 27 u
= 27 x 5
= 135
Amount that Japheth spent on the doll set
= 135 x 0.2
= $27
Answer(s): $27