Three girls gave an equal amount of money to buy a gift for Lee. Sarah used
13 of her money. Rachel used
23 of her money and Diana used
34 of hers. They had a total of $140 at first. How much was the gift?
|
Sarah |
Rachel |
Diana |
Total |
Before |
3x6 = 18 u |
3x3 = 9 u |
4x2 = 8 u |
35 u ($140) |
Change |
- 1x6 = - 6 u |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
- 18 u |
After |
2x6 = 12 u |
1x3 = 3 u |
1x2 = 2 u |
17 u |
The three girls gave equal amount of money to buy the gift. Make the amount that each spent the same. LCM of 1, 2 and 3 is 6.
Total amount that three girls had at first
= 18 u + 9 u + 8 u
= 35 u
35 u = 140
1 u = 140 ÷ 35 = 4
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 4
= $72
Answer(s): $72