Three girls gave an equal amount of money to buy a souvenir for Eric. Xandra used
13 of her money. Fanny used
35 of her money and Olivia used
45 of hers. They had a total of $852 at first. How much was the souvenir?
| |
Xandra |
Fanny |
Olivia |
Total |
| Before |
3x12 =
36 u |
5x4 =
20 u |
5x3 =
15 u |
$852 |
| Change |
- 1x12 =
- 12 u |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
- 36 u |
| After |
2x12 =
24 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
= 36 u + 20 u + 15 u
= 71 u
71 u = 852
1 u = 852 ÷ 71 = 12
Cost of the souvenir
= 3 x 12 u
= 36 u
= 36 x 12
= $432
Answer(s): $432
