Vincent had 80 more erasers than Oliver. Vincent gave 25% of his erasers to Oliver. Oliver in return gave 80% of his erasers to Vincent. In the end, Oliver had 174 less erasers than Vincent. How many erasers did Vincent have at first?
| |
Vincent |
Oliver |
Comparing Vincent
and Peter at first |
80 more |
|
| Before |
4 u + 80 |
4 u |
| Change 1 |
- 1 u - 20 |
+ 1 u + 20 |
| After 1 |
3 u + 60 |
5 u + 20 |
| Change 2 |
+ 4 u + 16 |
- 4 u - 16 |
| After 2 |
7 u + 76 |
1 u + 4 |
25% =
25100 =
1425% x 80
=
25100 x 80
= 20
80% x 20
=
80100 x 20
= 16
80% x 5 u
=
80100 x 5 u
= 4 u
Oliver had 174 less erasers than Vincent in the end. If another 174 erasers are given to Oliver, both will have the same number of erasers.
7 u + 76 = 1 u + 4 + 174
7 u - 1 u = 4 + 174 - 76
6 u = 102
1 u = 102 ÷ 6 = 34
Number of Oliver's erasers at first
= 4 u
= 4 x 34
= 136
Answer: 136
