At first, Asher, Vincent and Ryan had the same amount of money. After Ryan spent some of his money, Asher spent
38 of his money and Vincent spent
23 of his money, Asher had $70 more than Vincent. In the end, the total amount of money the three boys had left was $330. How much money did Ryan spend?
|
Asher |
Vincent |
Ryan |
Total |
Before |
8x3 = 24 u |
3x8 = 24 u |
24 u |
|
Change |
- 3x3 = - 9 u |
- 2x8 = - 16 u |
- ? |
|
After |
5x3 = 15 u |
1x8 = 8 u |
|
$330 |
The amount that Asher and Vincent 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 Asher had more than Vincent in the end
= 15 u - 8 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Amount that Asher and Vincent had in the end
= 15 u + 8 u
= 23 u
= 23 x 10
= $230
Amount that Ryan had in the end
= 330 - 230
= $100
Amount that Ryan had at first
= 24 u
= 24 x 10
= $240
Amount that Ryan spent
= 240 - 100
= $140
Answer(s): $140