Three girls gave an equal amount of money to buy a souvenir for Warren. Shannon used
13 of her money. Xylia used
34 of her money and Natalie used
23 of hers. They had a total of $175 at first. How much was the souvenir?
| |
Shannon |
Xylia |
Natalie |
Total |
| Before |
3x6 =
18 u |
4x2 =
8 u |
3x3 =
9 u |
$175 |
| Change |
- 1x6 =
- 6 u |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
- 18 u |
| After |
2x6 =
12 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
= 18 u + 8 u + 9 u
= 35 u
35 u = 175
1 u = 175 ÷ 35 = 5
Cost of the souvenir
= 3 x 6 u
= 18 u
= 18 x 5
= $90
Answer(s): $90
