Three girls gave an equal amount of money to buy a present for Ahmad. Tiffany used
14 of her money. Diana used
25 of her money and Hazel used
34 of hers. They had a total of $282 at first. How much was the present?
|
Tiffany |
Diana |
Hazel |
Total |
Before |
4x6 = 24 u |
5x3 = 15 u |
4x2 = 8 u |
47 u ($282) |
Change |
- 1x6 = - 6 u |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
- 18 u |
After |
3x6 = 18 u |
3x3 = 9 u |
1x2 = 2 u |
29 u |
The three girls gave equal amount of money to buy the present. Make the amount that each spent the same. LCM of 1, 2 and 3 is 6.
Total amount that three girls had at first
= 24 u + 15 u + 8 u
= 47 u
47 u = 282
1 u = 282 ÷ 47 = 6
Cost of the present
= 3 x 6 u
= 18 u
= 18 x 6
= $108
Answer(s): $108