Three girls gave an equal amount of money to buy a souvenir for Rael. Hazel used
13 of her money. Jade used
34 of her money and Gillian used
45 of hers. They had a total of $402 at first. How much was the souvenir?
| |
Hazel |
Jade |
Gillian |
Total |
| Before |
3x12 =
36 u |
4x4 =
16 u |
5x3 =
15 u |
$402 |
| Change |
- 1x12 =
- 12 u |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
- 36 u |
| After |
2x12 =
24 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
= 36 u + 16 u + 15 u
= 67 u
67 u = 402
1 u = 402 ÷ 67 = 6
Cost of the souvenir
= 3 x 12 u
= 36 u
= 36 x 6
= $216
Answer(s): $216
