Pamela and Liam had a total of $31. After Pamela spent
14 of her money and Liam spent $5, the ratio of Pamela's money to Kennenth's money became 1 : 3. How much money had Liam at first?
| |
Pamela |
Liam |
Total |
| Before |
4 u |
9 u + $5 |
$31 |
| Change |
- 1 u |
- $5 |
|
| After |
3 u |
|
|
Comparing Pamela and
Liam in the end |
1x3 =
3 u |
3x3 =
9 u |
|
The amount that Pamela had in the end is repeated. Make the amount that Pamela had in the end the same. LCM of 3 and 1 is 3.
Total amount that Pamela and Liam had at first
= 4 u + 9 u + 5
= 13 u + 5
13 u + 5 = 31
13 u = 31 - 5
13 u = 26
1 u = 26 ÷ 13 = 2
Amount that Liam had at first
= 9 u + 5
= 9 x 2 + 5
= 18 + 5
= $23
Answer(s): $23
