The ratio of Sam's money to Vincent's money is 3 : 13. If Vincent has $299, how much must he give to Sam so both will have the equal amount of money?
| |
Sam |
Vincent |
Total |
| Before |
3 u |
13 u |
16 u |
| Change |
+ 5 u |
- 5 u |
|
| After |
8 u |
8 u |
16 u |
Comparing Sam and
Vincent in the end |
1 |
1 |
|
Amount that Vincent has at first = 13 u
13 u = 299
1 u = 299 ÷ 13 = 23
Total amount that Vincent and Sam have
= 3 u + 13 u
= 16 u
Amount that each of them will have in the end
= 16 u ÷ 2
= 8 u
Amount that Vincent must give to Sam
= 8 u - 3 u
= 5 u
= 5 x 23
= $115
Answer(s): $115
