Three girls gave an equal amount of money to buy a souvenir for Xavier. Rachel used
14 of her money. Gwen used
23 of her money and Eva used
45 of hers. They had a total of $324 at first. How much was the souvenir?
| |
Rachel |
Gwen |
Eva |
Total |
| Before |
4x4 =
16 u |
3x2 =
6 u |
5x1 =
5 u |
27 u ($324) |
| Change |
- 1x4 =
- 4 u |
- 2x2 =
- 4 u |
- 4x1 =
- 4 u |
- 12 u |
| After |
3x4 =
12 u |
1x2 =
2 u |
1x1 =
1 u |
15 u |
The three girls gave equal amount of money to buy the souvenir. Make the amount that each spent the same. LCM of 1, 2 and 4 is 4.
Total amount that three girls had at first
= 16 u + 6 u + 5 u
= 27 u
27 u = 324
1 u = 324 ÷ 27 = 12
Cost of the souvenir
= 3 x 4 u
= 12 u
= 12 x 12
= $144
Answer(s): $144
