Three girls gave an equal amount of money to buy a present for Simon. Diana used
15 of her money. Pamela used
35 of her money and Rachel used
45 of hers. They had a total of $1045 at first. How much was the present?
| |
Diana |
Pamela |
Rachel |
Total |
| Before |
5x12 =
60 u |
5x4 =
20 u |
5x3 =
15 u |
$1045 |
| Change |
- 1x12 =
- 12 u |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
- 36 u |
| After |
4x12 =
48 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
= 60 u + 20 u + 15 u
= 95 u
95 u = 1045
1 u = 1045 ÷ 95 = 11
Cost of the present
= 3 x 12 u
= 36 u
= 36 x 11
= $396
Answer(s): $396
