Three girls gave an equal amount of money to buy a souvenir for Flynn. Yen used
15 of her money. Xandra used
35 of her money and Shannon used
45 of hers. They had a total of $475 at first. How much was the souvenir?
|
Yen |
Xandra |
Shannon |
Total |
Before |
5x12 = 60 u |
5x4 = 20 u |
5x3 = 15 u |
95 u ($475) |
Change |
- 1x12 = - 12 u |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
- 36 u |
After |
4x12 = 48 u |
2x4 = 8 u |
1x3 = 3 u |
59 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
= 60 u + 20 u + 15 u
= 95 u
95 u = 475
1 u = 475 ÷ 95 = 5
Cost of the souvenir
= 3 x 12 u
= 36 u
= 36 x 5
= $180
Answer(s): $180