Three girls gave an equal amount of money to buy a gift for Lee. Nora used
15 of her money. Linda used
34 of her money and Vanessa used
45 of hers. They had a total of $273 at first. How much was the gift?
|
Nora |
Linda |
Vanessa |
Total |
Before |
5x12 = 60 u |
4x4 = 16 u |
5x3 = 15 u |
$273 |
Change |
- 1x12 = - 12 u |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
- 36 u |
After |
4x12 = 48 u |
1x4 = 4 u |
1x3 = 3 u |
u |
The three girls gave equal amount of money to buy the gift. 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 + 16 u + 15 u
= 91 u
91 u = 273
1 u = 273 ÷ 91 = 3
Cost of the gift
= 3 x 12 u
= 36 u
= 36 x 3
= $108
Answer(s): $108