Three girls gave an equal amount of money to buy a gift for Elijah. Cathy used
16 of her money. Xuan used
34 of her money and Marion used
45 of hers. They had a total of $1133 at first. How much was the gift?
| |
Cathy |
Xuan |
Marion |
Total |
| Before |
6x12 =
72 u |
4x4 =
16 u |
5x3 =
15 u |
103 u ($1133) |
| Change |
- 1x12 =
- 12 u |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
- 36 u |
| After |
5x12 =
60 u |
1x4 =
4 u |
1x3 =
3 u |
67 u |
The three girls gave equal amount of money to buy the gift. 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 + 16 u + 15 u
= 103 u
103 u = 1133
1 u = 1133 ÷ 103 = 11
Cost of the gift
= 3 x 12 u
= 36 u
= 36 x 11
= $396
Answer(s): $396
