The ratio of Ethan's money to Zeph's money is 7 : 15. If Zeph has $420, how much must he give to Ethan so both will have the equal amount of money?
| |
Ethan |
Zeph |
Total |
| Before |
7 u |
15 u |
22 u |
| Change |
+ 4 u |
- 4 u |
|
| After |
11 u |
11 u |
22 u |
Comparing Ethan and
Zeph in the end |
1 |
1 |
|
Amount that Zeph has at first = 15 u
15 u = 420
1 u = 420 ÷ 15 = 28
Total amount that Zeph and Ethan have
= 7 u + 15 u
= 22 u
Amount that each of them will have in the end
= 22 u ÷ 2
= 11 u
Amount that Zeph must give to Ethan
= 11 u - 7 u
= 4 u
= 4 x 28
= $112
Answer(s): $112
