Three girls gave an equal amount of money to buy a gift for Harry. Cindy used
14 of her money. Marion used
34 of her money and Lucy used
23 of hers. They had a total of $82 at first. How much was the gift?
|
Cindy |
Marion |
Lucy |
Total |
Before |
4x6 = 24 u |
4x2 = 8 u |
3x3 = 9 u |
$82 |
Change |
- 1x6 = - 6 u |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 18 u |
After |
3x6 = 18 u |
1x2 = 2 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 2 is 6.
Total amount that three girls had at first
= 24 u + 8 u + 9 u
= 41 u
41 u = 82
1 u = 82 ÷ 41 = 2
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 2
= $36
Answer(s): $36