Three girls gave an equal amount of money to buy a gift for Zeph. Xandra used
16 of her money. Kathy used
23 of her money and Cindy used
45 of hers. They had a total of $315 at first. How much was the gift?
| |
Xandra |
Kathy |
Cindy |
Total |
| Before |
6x4 =
24 u |
3x2 =
6 u |
5x1 =
5 u |
35 u ($315) |
| Change |
- 1x4 =
- 4 u |
- 2x2 =
- 4 u |
- 4x1 =
- 4 u |
- 12 u |
| After |
5x4 =
20 u |
1x2 =
2 u |
1x1 =
1 u |
23 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 4 is 4.
Total amount that three girls had at first
= 24 u + 6 u + 5 u
= 35 u
35 u = 315
1 u = 315 ÷ 35 = 9
Cost of the gift
= 3 x 4 u
= 12 u
= 12 x 9
= $108
Answer(s): $108
