Oscar, Cole and Julian had the same number of marbles. Julian gave 0.8 of his marbles to Cole. Then Cole gave 0.25 of his marbles to Oscar. Finally, after Cole gave 46 marbles to Julian, he had the same number of marbles as Julian. How many marbles did Julian have at first?
| |
Oscar |
Cole |
Julian |
| Before |
1 u |
1 u |
1 u |
| Change 1 |
|
+ 0.8 u |
- 0.8 u |
| After 1 |
1 u |
1.8 u |
0.2 u |
| Change 2 |
+ 0.45 u |
- 0.45 u |
|
| After 2 |
1.45 u |
1.35 u |
0.2 u |
| Change 3 |
|
- 46 |
+ 46 |
| After 3 |
1.45 u |
1.35 u - 46 |
0.2 u + 46 |
Number of marbles that Cole gave to Oscar
= 0.25 x 1.8 u
= 0.45 u
The number of marbles that Cole and Julian had in the end is the same.
1.35 u - 46 = 0.2 u + 46
1.35 u - 0.2 u = 46 + 46
1.15 u = 92
1 u = 92 ÷ 1.15 = 80
Number of marbles that Julian had at first
= 1 u
= 80
Answer(s): 80
