Ivan, Jeremy and Cole had 210 pencils. After Ivan used 22 pencils and Jeremy used
17 of her pencils, Ivan had twice as many pencils left as Jeremy. Cole bought another 27 pencils, he had four times the number of pencils Jeremy had left. How many pencils did Cole have at first?
| |
Ivan |
Jeremy |
Cole |
Total |
| Before |
12 u + 22 |
7 u |
24 u - 27 |
210 |
| Change |
- 22 |
- 1 u |
+ 27 |
|
| After |
12 u |
6 u |
24 u |
|
Comparing Ivan
and Jeremy in the end |
2 |
1 |
|
|
Comparing Cole
and Jeremy in the end |
|
1 |
4 |
|
Number of pencils that Ivan had in the end
= 2 x 6 u
= 12 u
Number of pencils that Cole had in the end
= 4 x 6 u
= 24 u
Total number of pencils at first
= 12 u + 22 + 7 u + 24 u - 27
= 43 u - 5
43 u - 5 = 210
43 u = 210 + 5
43 u = 215
1 u = 215 ÷ 43 = 5
Number of pencils that Cole had at first
= 24 u - 27
= 24 x 5 - 27
= 120 - 27
= 93
Answer(s): 93
