Three girls gave an equal amount of money to buy a gift for Ethan. Xuan used
15 of her money. Winnie used
25 of her money and Emily used
34 of hers. They had a total of $265 at first. How much was the gift?
| |
Xuan |
Winnie |
Emily |
Total |
| Before |
5x6 =
30 u |
5x3 =
15 u |
4x2 =
8 u |
53 u ($265) |
| Change |
- 1x6 =
- 6 u |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
- 18 u |
| After |
4x6 =
24 u |
3x3 =
9 u |
1x2 =
2 u |
35 u |
The three girls gave equal amount of money to buy the gift. Make the amount that each spent the same. LCM of 1, 2 and 3 is 6.
Total amount that three girls had at first
= 30 u + 15 u + 8 u
= 53 u
53 u = 265
1 u = 265 ÷ 53 = 5
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 5
= $90
Answer(s): $90
