Three girls gave an equal amount of money to buy a present for Elijah. Mary used
16 of her money. Xylia used
34 of her money and Erika used
23 of hers. They had a total of $106 at first. How much was the present?
|
Mary |
Xylia |
Erika |
Total |
Before |
6x6 = 36 u |
4x2 = 8 u |
3x3 = 9 u |
53 u ($106) |
Change |
- 1x6 = - 6 u |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 18 u |
After |
5x6 = 30 u |
1x2 = 2 u |
1x3 = 3 u |
35 u |
The three girls gave equal amount of money to buy the present. Make the amount that each spent the same. LCM of 1, 3 and 2 is 6.
Total amount that three girls had at first
= 36 u + 8 u + 9 u
= 53 u
53 u = 106
1 u = 106 ÷ 53 = 2
Cost of the present
= 3 x 6 u
= 18 u
= 18 x 2
= $36
Answer(s): $36