Pamela and Liam had a total of $262. After Pamela spent
18 of her money and Liam spent $4, the ratio of Pamela's money to Kennenth's money became 1 : 5. How much money had Liam at first?
| |
Pamela |
Liam |
Total |
| Before |
8 u |
35 u + $4 |
$262 |
| Change |
- 1 u |
- $4 |
|
| After |
7 u |
|
|
Comparing Pamela and
Liam in the end |
1x7 =
7 u |
5x7 =
35 u |
|
The amount that Pamela had in the end is repeated. Make the amount that Pamela had in the end the same. LCM of 7 and 1 is 7.
Total amount that Pamela and Liam had at first
= 8 u + 35 u + 4
= 43 u + 4
43 u + 4 = 262
43 u = 262 - 4
43 u = 258
1 u = 258 ÷ 43 = 6
Amount that Liam had at first
= 35 u + 4
= 35 x 6 + 4
= 210 + 4
= $214
Answer(s): $214
