Tim and Luke have a total of $372. If Luke gives Tim $40, Tim will have thrice as much money as Luke. How much money has each of them at first?
- Luke
- Tim
|
Tim |
Luke |
Total |
Before |
3 u - $40 |
1 u + $40 |
$372 |
Change |
+ $40 |
- $40 |
|
After |
3 u |
1 u |
$372 |
(a)
Total amount that Tim and Luke have in the end
= 1 u + 3 u
= 4 u
4 u = 372
1 u = 372 ÷ 4 = 93
Amount that Luke has at first
= 1 u + 40
= 93 + 40
= $133
(b)
Amount that Tim has at first
= 372 - 133
= $239
Answer(s): (a) $133; (b) $239