Three girls gave an equal amount of money to buy a gift for Sean. Jen used
14 of her money. Opal used
35 of her money and Linda used
23 of hers. They had a total of $473 at first. How much was the gift?
|
Jen |
Opal |
Linda |
Total |
Before |
4x6 = 24 u |
5x2 = 10 u |
3x3 = 9 u |
$473 |
Change |
- 1x6 = - 6 u |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 18 u |
After |
3x6 = 18 u |
2x2 = 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 2 is 6.
Total amount that three girls had at first
= 24 u + 10 u + 9 u
= 43 u
43 u = 473
1 u = 473 ÷ 43 = 11
Cost of the gift
= 3 x 6 u
= 18 u
= 18 x 11
= $198
Answer(s): $198