Three girls gave an equal amount of money to buy a souvenir for Zeph. Hazel used
14 of her money. Nora used
34 of her money and Ivory used
23 of hers. They had a total of $123 at first. How much was the souvenir?
|
Hazel |
Nora |
Ivory |
Total |
Before |
4x6 = 24 u |
4x2 = 8 u |
3x3 = 9 u |
41 u ($123) |
Change |
- 1x6 = - 6 u |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 18 u |
After |
3x6 = 18 u |
1x2 = 2 u |
1x3 = 3 u |
23 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 2 is 6.
Total amount that three girls had at first
= 24 u + 8 u + 9 u
= 41 u
41 u = 123
1 u = 123 ÷ 41 = 3
Cost of the souvenir
= 3 x 6 u
= 18 u
= 18 x 3
= $54
Answer(s): $54