Three girls gave an equal amount of money to buy a souvenir for Oscar. Hazel used
15 of her money. Dana used
34 of her money and Penelope used
45 of hers. They had a total of $182 at first. How much was the souvenir?
| |
Hazel |
Dana |
Penelope |
Total |
| Before |
5x12 =
60 u |
4x4 =
16 u |
5x3 =
15 u |
$182 |
| Change |
- 1x12 =
- 12 u |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
- 36 u |
| After |
4x12 =
48 u |
1x4 =
4 u |
1x3 =
3 u |
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
= 60 u + 16 u + 15 u
= 91 u
91 u = 182
1 u = 182 ÷ 91 = 2
Cost of the souvenir
= 3 x 12 u
= 36 u
= 36 x 2
= $72
Answer(s): $72
