Michael and Simon have a total of $180. If Simon gives Michael $11, Michael will have four times as much money as Simon. How much money has each of them at first?
- Simon
- Michael
|
Michael |
Simon |
Total |
Before |
4 u - $11 |
1 u + $11 |
$180 |
Change |
+ $11 |
- $11 |
|
After |
4 u |
1 u |
$180 |
(a)
Total amount that Michael and Simon have in the end
= 1 u + 4 u
= 5 u
5 u = 180
1 u = 180 ÷ 5 = 36
Amount that Simon has at first
= 1 u + 11
= 36 + 11
= $47
(b)
Amount that Michael has at first
= 180 - 47
= $133
Answer(s): (a) $47; (b) $133