Liam and Mark have a total of $172. If Mark gives Liam $39, Liam will have thrice as much money as Mark. How much money has each of them at first?
- Mark
- Liam
|
Liam |
Mark |
Total |
Before |
3 u - $39 |
1 u + $39 |
$172 |
Change |
+ $39 |
- $39 |
|
After |
3 u |
1 u |
$172 |
(a)
Total amount that Liam and Mark have in the end
= 1 u + 3 u
= 4 u
4 u = 172
1 u = 172 ÷ 4 = 43
Amount that Mark has at first
= 1 u + 39
= 43 + 39
= $82
(b)
Amount that Liam has at first
= 172 - 82
= $90
Answer(s): (a) $82; (b) $90