Michael and Neave had a total of $154. Michael gave $21 to Neave. In return, Neave gave
13 of his money to Michael. In the end, Michael had six times as much money as Neave. How much money did Michael have at first?
| |
Michael |
Neave |
Total |
| Before |
|
|
$154 |
| Change 1 |
- $21 |
+ $21 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Michael
and Neave
in the end |
6 u |
1 u |
$154 |
The total amount that Neave and Michael had remains unchanged.
Total amount in the end
= 6 u + 1 u
= 7 u
7 u = 154
1 u = 154 ÷ 7 = 22
Amount that Michael has in the end
= 6 u
= 6 x 22
= $132
Amount that Neave has in the end
= 1 u
= $22
2 p = 1 u = 22
1 p = 22 ÷ 2 = 11
Amount that Neave gave to Michael
= 1 p
= 1 x 11
= $11
Amount that Michael had at first
= 132 - 11 + 21
= $142
Answer(s): $142
