Peter, Wesley and Zane had 210 pencils. After Peter used 17 pencils and Wesley used
47 of her pencils, Peter had thrice as many pencils left as Wesley. Zane bought another 27 pencils, he had twice the number of pencils Wesley had left. How many pencils did Zane have at first?
| |
Peter |
Wesley |
Zane |
Total |
| Before |
9 u + 17 |
7 u |
6 u - 27 |
210 |
| Change |
- 17 |
- 4 u |
+ 27 |
|
| After |
9 u |
3 u |
6 u |
|
Comparing Peter
and Wesley in the end |
3 |
1 |
|
|
Comparing Zane
and Wesley in the end |
|
1 |
2 |
|
Number of pencils that Peter had in the end
= 3 x 3 u
= 9 u
Number of pencils that Zane had in the end
= 2 x 3 u
= 6 u
Total number of pencils at first
= 9 u + 17 + 7 u + 6 u - 27
= 22 u - 10
22 u - 10 = 210
22 u = 210 + 10
22 u = 220
1 u = 220 ÷ 22 = 10
Number of pencils that Zane had at first
= 6 u - 27
= 6 x 10 - 27
= 60 - 27
= 33
Answer(s): 33
