Glen, Fabian and Bryan had 105 erasers. After Glen used 12 erasers and Fabian used
14 of her erasers, Glen had twice as many erasers left as Fabian. Bryan bought another 17 erasers, he had four times the number of erasers Fabian had left. How many erasers did Bryan have at first?
| |
Glen |
Fabian |
Bryan |
Total |
| Before |
6 u + 12 |
4 u |
12 u - 17 |
105 |
| Change |
- 12 |
- 1 u |
+ 17 |
|
| After |
6 u |
3 u |
12 u |
|
Comparing Glen
and Fabian in the end |
2 |
1 |
|
|
Comparing Bryan
and Fabian in the end |
|
1 |
4 |
|
Number of erasers that Glen had in the end
= 2 x 3 u
= 6 u
Number of erasers that Bryan had in the end
= 4 x 3 u
= 12 u
Total number of erasers at first
= 6 u + 12 + 4 u + 12 u - 17
= 22 u - 5
22 u - 5 = 105
22 u = 105 + 5
22 u = 110
1 u = 110 ÷ 22 = 5
Number of erasers that Bryan had at first
= 12 u - 17
= 12 x 5 - 17
= 60 - 17
= 43
Answer(s): 43
