Three girls gave an equal amount of money to buy a souvenir for Vincent. Cindy used
14 of her money. Usha used
34 of her money and Tina used
45 of hers. They had a total of $158 at first. How much was the souvenir?
| |
Cindy |
Usha |
Tina |
Total |
| Before |
4x12 =
48 u |
4x4 =
16 u |
5x3 =
15 u |
79 u ($158) |
| Change |
- 1x12 =
- 12 u |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
- 36 u |
| After |
3x12 =
36 u |
1x4 =
4 u |
1x3 =
3 u |
43 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 4 is 12.
Total amount that three girls had at first
= 48 u + 16 u + 15 u
= 79 u
79 u = 158
1 u = 158 ÷ 79 = 2
Cost of the souvenir
= 3 x 12 u
= 36 u
= 36 x 2
= $72
Answer(s): $72
