Three girls gave an equal amount of money to buy a souvenir for Bryan. Yen used
14 of her money. Penelope used
34 of her money and Tina used
23 of hers. They had a total of $164 at first. How much was the souvenir?
| |
Yen |
Penelope |
Tina |
Total |
| Before |
4x6 =
24 u |
4x2 =
8 u |
3x3 =
9 u |
$164 |
| Change |
- 1x6 =
- 6 u |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
- 18 u |
| After |
3x6 =
18 u |
1x2 =
2 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 2 is 6.
Total amount that three girls had at first
= 24 u + 8 u + 9 u
= 41 u
41 u = 164
1 u = 164 ÷ 41 = 4
Cost of the souvenir
= 3 x 6 u
= 18 u
= 18 x 4
= $72
Answer(s): $72
