78 of Sean's savings comprised of 5-cent coins and 50-cent coins. Sean used some 5-cent coins to purchase a kitchen set. The number of 50-cent coins left was 40% more than the number of 5-cent coins left. Given that Sean had 40 more 50-cent coins than 5-cent coins left in the end, find the amount of money Sean spent on the kitchen set.
|
5-cent coins |
50-cent coins |
Before |
7x7 = 49 u |
1x7 = 7 u |
Change |
- 44 u |
|
After |
5x1 = 5 u |
7x1 = 7 u |
Fraction of Sean's savings that comprised of 50-cent coins
= 1 -
78=
18Number 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 5-cent coins
= 7 u - 5 u
= 2 u
2 u = 40
1 u = 40 ÷ 2 = 20
Number of 5-cent coins spent on the kitchen set
= 49 u - 5 u
= 44 u
= 44 x 20
= 880
Amount that Sean spent on the kitchen set
= 880 x 0.05
= $44
Answer(s): $44