Three girls gave an equal amount of money to buy a present for Ian. Irene used
14 of her money. Rachel used
35 of her money and Esther used
45 of hers. They had a total of $913 at first. How much was the present?
|
Irene |
Rachel |
Esther |
Total |
Before |
4x12 = 48 u |
5x4 = 20 u |
5x3 = 15 u |
83 u ($913) |
Change |
- 1x12 = - 12 u |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
- 36 u |
After |
3x12 = 36 u |
2x4 = 8 u |
1x3 = 3 u |
47 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 4 is 12.
Total amount that three girls had at first
= 48 u + 20 u + 15 u
= 83 u
83 u = 913
1 u = 913 ÷ 83 = 11
Cost of the present
= 3 x 12 u
= 36 u
= 36 x 11
= $396
Answer(s): $396