Three girls gave an equal amount of money to buy a souvenir for Will. Xandra used
16 of her money. Diana used
34 of her money and Roshel used
23 of hers. They had a total of $212 at first. How much was the souvenir?
| |
Xandra |
Diana |
Roshel |
Total |
| Before |
6x6 =
36 u |
4x2 =
8 u |
3x3 =
9 u |
53 u ($212) |
| 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 souvenir. 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 = 212
1 u = 212 ÷ 53 = 4
Cost of the souvenir
= 3 x 6 u
= 18 u
= 18 x 4
= $72
Answer(s): $72
