Ivan, Elijah and Fabian had 70 pencils. After Ivan used 3 pencils and Elijah used
12 of her pencils, Ivan had twice as many pencils left as Elijah. Fabian bought another 13 pencils, he had four times the number of pencils Elijah had left. How many pencils did Fabian have at first?
| |
Ivan |
Elijah |
Fabian |
Total |
| Before |
2 u + 3 |
2 u |
4 u - 13 |
70 |
| Change |
- 3 |
- 1 u |
+ 13 |
|
| After |
2 u |
1 u |
4 u |
|
Comparing Ivan
and Elijah in the end |
2 |
1 |
|
|
Comparing Fabian
and Elijah in the end |
|
1 |
4 |
|
Number of pencils that Ivan had in the end
= 2 x 1 u
= 2 u
Number of pencils that Fabian had in the end
= 4 x 1 u
= 4 u
Total number of pencils at first
= 2 u + 3 + 2 u + 4 u - 13
= 8 u - 10
8 u - 10 = 70
8 u = 70 + 10
8 u = 80
1 u = 80 ÷ 8 = 10
Number of pencils that Fabian had at first
= 4 u - 13
= 4 x 10 - 13
= 40 - 13
= 27
Answer(s): 27
