Luke and Paul have a total of $445. If Paul gives Luke $18, Luke will have four times as much money as Paul. How much money has each of them at first?
- Paul
- Luke
|
Luke |
Paul |
Total |
Before |
4 u - $18 |
1 u + $18 |
$445 |
Change |
+ $18 |
- $18 |
|
After |
4 u |
1 u |
$445 |
(a)
Total amount that Luke and Paul have in the end
= 1 u + 4 u
= 5 u
5 u = 445
1 u = 445 ÷ 5 = 89
Amount that Paul has at first
= 1 u + 18
= 89 + 18
= $107
(b)
Amount that Luke has at first
= 445 - 107
= $338
Answer(s): (a) $107; (b) $338