Three girls gave an equal amount of money to buy a souvenir for Seth. Marion used
16 of her money. Esther used
35 of her money and Jane used
23 of hers. They had a total of $220 at first. How much was the souvenir?
|
Marion |
Esther |
Jane |
Total |
Before |
6x6 = 36 u |
5x2 = 10 u |
3x3 = 9 u |
55 u ($220) |
Change |
- 1x6 = - 6 u |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 18 u |
After |
5x6 = 30 u |
2x2 = 4 u |
1x3 = 3 u |
37 u |
The three girls gave equal amount of money to buy the souvenir. Make the amount that each spent the same. LCM of 1, 3 and 2 is 6.
Total amount that three girls had at first
= 36 u + 10 u + 9 u
= 55 u
55 u = 220
1 u = 220 ÷ 55 = 4
Cost of the souvenir
= 3 x 6 u
= 18 u
= 18 x 4
= $72
Answer(s): $72