At first, Mark, Cole and Jenson had the same amount of money. After Jenson spent some of his money, Mark spent
38 of his money and Cole spent
23 of his money, Mark had $140 more than Cole. In the end, the total amount of money the three boys had left was $579. How much money did Jenson spend?
|
Mark |
Cole |
Jenson |
Total |
Before |
8x3 = 24 u |
3x8 = 24 u |
24 u |
|
Change |
- 3x3 = - 9 u |
- 2x8 = - 16 u |
- ? |
|
After |
5x3 = 15 u |
1x8 = 8 u |
|
$579 |
The amount that Mark and Cole each had at first is the same. Make the amount that they each had the same. LCM of 8 and 3 is 24.
Amount that Mark had more than Cole in the end
= 15 u - 8 u
= 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Amount that Mark and Cole had in the end
= 15 u + 8 u
= 23 u
= 23 x 20
= $460
Amount that Jenson had in the end
= 579 - 460
= $119
Amount that Jenson had at first
= 24 u
= 24 x 20
= $480
Amount that Jenson spent
= 480 - 119
= $361
Answer(s): $361