Three girls gave an equal amount of money to buy a souvenir for Warren. Xylia used
14 of her money. Fanny used
35 of her money and Cathy used
45 of hers. They had a total of $498 at first. How much was the souvenir?
|
Xylia |
Fanny |
Cathy |
Total |
Before |
4x12 = 48 u |
5x4 = 20 u |
5x3 = 15 u |
83 u ($498) |
Change |
- 1x12 = - 12 u |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
- 36 u |
After |
3x12 = 36 u |
2x4 = 8 u |
1x3 = 3 u |
47 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
= 48 u + 20 u + 15 u
= 83 u
83 u = 498
1 u = 498 ÷ 83 = 6
Cost of the souvenir
= 3 x 12 u
= 36 u
= 36 x 6
= $216
Answer(s): $216