Three girls gave an equal amount of money to buy a souvenir for Ethan. Mary used
16 of her money. Gwen used
35 of her money and Victoria used
45 of hers. They had a total of $963 at first. How much was the souvenir?
| |
Mary |
Gwen |
Victoria |
Total |
| Before |
6x12 =
72 u |
5x4 =
20 u |
5x3 =
15 u |
$963 |
| Change |
- 1x12 =
- 12 u |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
- 36 u |
| After |
5x12 =
60 u |
2x4 =
8 u |
1x3 =
3 u |
u |
The three girls gave equal amount of money to buy the souvenir. 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 + 20 u + 15 u
= 107 u
107 u = 963
1 u = 963 ÷ 107 = 9
Cost of the souvenir
= 3 x 12 u
= 36 u
= 36 x 9
= $324
Answer(s): $324
