George, Warren and Asher had 336 pencils. After George used 26 pencils and Warren used
18 of her pencils, George had thrice as many pencils left as Warren. Asher bought another 32 pencils, he had four times the number of pencils Warren had left. How many pencils did Asher have at first?
| |
George |
Warren |
Asher |
Total |
| Before |
21 u + 26 |
8 u |
28 u - 32 |
336 |
| Change |
- 26 |
- 1 u |
+ 32 |
|
| After |
21 u |
7 u |
28 u |
|
Comparing George
and Warren in the end |
3 |
1 |
|
|
Comparing Asher
and Warren in the end |
|
1 |
4 |
|
Number of pencils that George had in the end
= 3 x 7 u
= 21 u
Number of pencils that Asher had in the end
= 4 x 7 u
= 28 u
Total number of pencils at first
= 21 u + 26 + 8 u + 28 u - 32
= 57 u - 6
57 u - 6 = 336
57 u = 336 + 6
57 u = 342
1 u = 342 ÷ 57 = 6
Number of pencils that Asher had at first
= 28 u - 32
= 28 x 6 - 32
= 168 - 32
= 136
Answer(s): 136
