Three girls gave an equal amount of money to buy a present for Warren. Esther used
13 of her money. Emily used
34 of her money and Shiyun used
23 of hers. They had a total of $350 at first. How much was the present?
|
Esther |
Emily |
Shiyun |
Total |
Before |
3x6 = 18 u |
4x2 = 8 u |
3x3 = 9 u |
$350 |
Change |
- 1x6 = - 6 u |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 18 u |
After |
2x6 = 12 u |
1x2 = 2 u |
1x3 = 3 u |
u |
The three girls gave equal amount of money to buy the present. Make the amount that each spent the same. LCM of 1, 3 and 2 is 6.
Total amount that three girls had at first
= 18 u + 8 u + 9 u
= 35 u
35 u = 350
1 u = 350 ÷ 35 = 10
Cost of the present
= 3 x 6 u
= 18 u
= 18 x 10
= $180
Answer(s): $180