Three girls gave an equal amount of money to buy a present for Pierre. Julie used
16 of her money. Jade used
23 of her money and Yen used
34 of hers. They had a total of $106 at first. How much was the present?
| |
Julie |
Jade |
Yen |
Total |
| Before |
6x6 =
36 u |
3x3 =
9 u |
4x2 =
8 u |
53 u ($106) |
| Change |
- 1x6 =
- 6 u |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
- 18 u |
| After |
5x6 =
30 u |
1x3 =
3 u |
1x2 =
2 u |
35 u |
The three girls gave equal amount of money to buy the present. Make the amount that each spent the same. LCM of 1, 2 and 3 is 6.
Total amount that three girls had at first
= 36 u + 9 u + 8 u
= 53 u
53 u = 106
1 u = 106 ÷ 53 = 2
Cost of the present
= 3 x 6 u
= 18 u
= 18 x 2
= $36
Answer(s): $36
