The ratio of Liam's money to Zane's money is 3 : 13. If Zane has $403, how much must he give to Liam so both will have the equal amount of money?
|
Liam |
Zane |
Total |
Before |
3 u |
13 u |
16 u |
Change |
+ 5 u |
- 5 u |
|
After |
8 u |
8 u |
16 u |
Comparing Liam and Zane in the end |
1 |
1 |
|
Amount that Zane has at first = 13 u
13 u = 403
1 u = 403 ÷ 13 = 31
Total amount that Zane and Liam have
= 3 u + 13 u
= 16 u
Amount that each of them will have in the end
= 16 u ÷ 2
= 8 u
Amount that Zane must give to Liam
= 8 u - 3 u
= 5 u
= 5 x 31
= $155
Answer(s): $155