Warren, Julian and Asher had the same number of marbles. Asher gave 0.5 of his marbles to Julian. Then Julian gave 0.25 of his marbles to Warren. Finally, after Julian gave 20 marbles to Asher, he had the same number of marbles as Asher. How many marbles did Asher have at first?
| |
Warren |
Julian |
Asher |
| Before |
1 u |
1 u |
1 u |
| Change 1 |
|
+ 0.5 u |
- 0.5 u |
| After 1 |
1 u |
1.5 u |
0.5 u |
| Change 2 |
+ 0.375 u |
- 0.375 u |
|
| After 2 |
1.375 u |
1.125 u |
0.5 u |
| Change 3 |
|
- 20 |
+ 20 |
| After 3 |
1.375 u |
1.125 u - 20 |
0.5 u + 20 |
Number of marbles that Julian gave to Warren
= 0.25 x 1.5 u
= 0.375 u
The number of marbles that Julian and Asher had in the end is the same.
1.125 u - 20 = 0.5 u + 20
1.125 u - 0.5 u = 20 + 20
0.625 u = 40
1 u = 40 ÷ 0.625 = 64
Number of marbles that Asher had at first
= 1 u
= 64
Answer(s): 64
