Eric, Asher, Justin and Brandon shared $175. Brandon received
34 of the total amount of money received by Eric, Asher and Justin. Eric received
23 of the total amount for Asher and Justin. Asher received
13 as much money as Justin. If Justin gave all his money to Brandon, how much did Brandon have more than Asher in the end?
Eric |
Asher |
Justin |
Brandon |
Total |
4x5 |
3x5 |
7x5 |
2x4 |
3x4 |
|
|
|
1x3 |
3x3 |
|
|
8 u |
3 u |
9 u |
15 u |
35 u |
The total amount that Asher and Justin have is repeated. Make the total amount of Asher and Justin the same. LCM of 4 and 3 is 12.
The total amount that Eric, Asher and Justin have is repeated. Make the total amount of Eric, Asher and Justin the same. LCM of 20 and 4 is 20.
Total amount that Eric, Asher, Justin and Brandon shared = 35 u
35 u = 175
1 u = 175 ÷ 35 = 5
|
Eric |
Asher |
Justin |
Brandon |
Before |
8 u |
3 u |
9 u |
15 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
8 u |
3 u |
0 u |
24 u |
Amount that Brandon had if Justin gave him all his money
= 15 u + 9 u
= 24 u
Amount that Brandon had more than Asher
= 24 u - 3 u
= 21 u
= 21 x 5
= $105
Answer(s): $105