Will, Fabian and Brandon had 216 pencils. After Will used 4 pencils and Fabian used
14 of her pencils, Will had thrice as many pencils left as Fabian. Brandon bought another 13 pencils, he had four times the number of pencils Fabian had left. How many pencils did Brandon have at first?
| |
Will |
Fabian |
Brandon |
Total |
| Before |
9 u + 4 |
4 u |
12 u - 13 |
216 |
| Change |
- 4 |
- 1 u |
+ 13 |
|
| After |
9 u |
3 u |
12 u |
|
Comparing Will
and Fabian in the end |
3 |
1 |
|
|
Comparing Brandon
and Fabian in the end |
|
1 |
4 |
|
Number of pencils that Will had in the end
= 3 x 3 u
= 9 u
Number of pencils that Brandon had in the end
= 4 x 3 u
= 12 u
Total number of pencils at first
= 9 u + 4 + 4 u + 12 u - 13
= 25 u - 9
25 u - 9 = 216
25 u = 216 + 9
25 u = 225
1 u = 225 ÷ 25 = 9
Number of pencils that Brandon had at first
= 12 u - 13
= 12 x 9 - 13
= 108 - 13
= 95
Answer(s): 95
