Ethan, Luke and Jeremy had 186 pencils. After Ethan used 23 pencils and Luke used
27 of her pencils, Ethan had twice as many pencils left as Luke. Jeremy bought another 29 pencils, he had thrice the number of pencils Luke had left. How many pencils did Jeremy have at first?
| |
Ethan |
Luke |
Jeremy |
Total |
| Before |
10 u + 23 |
7 u |
15 u - 29 |
186 |
| Change |
- 23 |
- 2 u |
+ 29 |
|
| After |
10 u |
5 u |
15 u |
|
Comparing Ethan
and Luke in the end |
2 |
1 |
|
|
Comparing Jeremy
and Luke in the end |
|
1 |
3 |
|
Number of pencils that Ethan had in the end
= 2 x 5 u
= 10 u
Number of pencils that Jeremy had in the end
= 3 x 5 u
= 15 u
Total number of pencils at first
= 10 u + 23 + 7 u + 15 u - 29
= 32 u - 6
32 u - 6 = 186
32 u = 186 + 6
32 u = 192
1 u = 192 ÷ 32 = 6
Number of pencils that Jeremy had at first
= 15 u - 29
= 15 x 6 - 29
= 90 - 29
= 61
Answer(s): 61
