Three girls gave an equal amount of money to buy a present for Luis. Emily used
16 of her money. Barbara used
35 of her money and Abi used
45 of hers. They had a total of $535 at first. How much was the present?
|
Emily |
Barbara |
Abi |
Total |
Before |
6x12 = 72 u |
5x4 = 20 u |
5x3 = 15 u |
$535 |
Change |
- 1x12 = - 12 u |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
- 36 u |
After |
5x12 = 60 u |
2x4 = 8 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 4 is 12.
Total amount that three girls had at first
= 72 u + 20 u + 15 u
= 107 u
107 u = 535
1 u = 535 ÷ 107 = 5
Cost of the present
= 3 x 12 u
= 36 u
= 36 x 5
= $180
Answer(s): $180