The ratio of Elijah's money to Tom's money is 3 : 7. If Tom has $70, how much must he give to Elijah so both will have the equal amount of money?
|
Elijah |
Tom |
Total |
Before |
3 u |
7 u |
10 u |
Change |
+ 2 u |
- 2 u |
|
After |
5 u |
5 u |
10 u |
Comparing Elijah and Tom in the end |
1 |
1 |
|
Amount that Tom has at first = 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Total amount that Tom and Elijah have
= 3 u + 7 u
= 10 u
Amount that each of them will have in the end
= 10 u ÷ 2
= 5 u
Amount that Tom must give to Elijah
= 5 u - 3 u
= 2 u
= 2 x 10
= $20
Answer(s): $20