Three girls gave an equal amount of money to buy a souvenir for Ben. Penelope used
15 of her money. Winnie used
25 of her money and Jen used
34 of hers. They had a total of $424 at first. How much was the souvenir?
| |
Penelope |
Winnie |
Jen |
Total |
| Before |
5x6 =
30 u |
5x3 =
15 u |
4x2 =
8 u |
$424 |
| Change |
- 1x6 =
- 6 u |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
- 18 u |
| After |
4x6 =
24 u |
3x3 =
9 u |
1x2 =
2 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, 2 and 3 is 6.
Total amount that three girls had at first
= 30 u + 15 u + 8 u
= 53 u
53 u = 424
1 u = 424 ÷ 53 = 8
Cost of the souvenir
= 3 x 6 u
= 18 u
= 18 x 8
= $144
Answer(s): $144
