Bobby, Caden and Flynn had 336 pencils. After Bobby used 18 pencils and Caden used
17 of her pencils, Bobby had four times as many pencils left as Caden. Flynn bought another 26 pencils, he had twice the number of pencils Caden had left. How many pencils did Flynn have at first?
| |
Bobby |
Caden |
Flynn |
Total |
| Before |
24 u + 18 |
7 u |
12 u - 26 |
336 |
| Change |
- 18 |
- 1 u |
+ 26 |
|
| After |
24 u |
6 u |
12 u |
|
Comparing Bobby
and Caden in the end |
4 |
1 |
|
|
Comparing Flynn
and Caden in the end |
|
1 |
2 |
|
Number of pencils that Bobby had in the end
= 4 x 6 u
= 24 u
Number of pencils that Flynn had in the end
= 2 x 6 u
= 12 u
Total number of pencils at first
= 24 u + 18 + 7 u + 12 u - 26
= 43 u - 8
43 u - 8 = 336
43 u = 336 + 8
43 u = 344
1 u = 344 ÷ 43 = 8
Number of pencils that Flynn had at first
= 12 u - 26
= 12 x 8 - 26
= 96 - 26
= 70
Answer(s): 70
