Ken and Peter received a total of $280. After Ken spent
23 of his money and Peter spent
45 of his money, Peter had 5 times as much money as Ken. How much money did Peter have at first?
|
Ken |
Peter |
Total |
Before |
3 u |
5x5 = 25 u |
28 u |
Change |
- 2 u |
- 4x5 = - 20 u |
|
After |
1 u |
1x5 = 5 u |
|
Comparing Ken and Peter in the end |
1 u |
5 u |
|
The amount that Peter had in the end is the same. Make the amount that Peter had in the end the same. LCM of 1 and 5 is 5.
Total amount that Peter and Ken had at first
= 3 u + 25 u
= 28 u
28 u = 280
1 u = 280 ÷ 28 = 10
Amount that Peter had at first
= 25 u
= 25 x 10
= $250
Answer(s): $250