Three girls gave an equal amount of money to buy a souvenir for Vaidev. Xylia used
16 of her money. Wendy used
23 of her money and Yen used
34 of hers. They had a total of $477 at first. How much was the souvenir?
|
Xylia |
Wendy |
Yen |
Total |
Before |
6x6 = 36 u |
3x3 = 9 u |
4x2 = 8 u |
53 u ($477) |
Change |
- 1x6 = - 6 u |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
- 18 u |
After |
5x6 = 30 u |
1x3 = 3 u |
1x2 = 2 u |
35 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 3 is 6.
Total amount that three girls had at first
= 36 u + 9 u + 8 u
= 53 u
53 u = 477
1 u = 477 ÷ 53 = 9
Cost of the souvenir
= 3 x 6 u
= 18 u
= 18 x 9
= $162
Answer(s): $162