Rael, Jenson and Luis had 224 pencils. After Rael used 27 pencils and Jenson used
15 of her pencils, Rael had twice as many pencils left as Jenson. Luis bought another 35 pencils, he had four times the number of pencils Jenson had left. How many pencils did Luis have at first?
| |
Rael |
Jenson |
Luis |
Total |
| Before |
8 u + 27 |
5 u |
16 u - 35 |
224 |
| Change |
- 27 |
- 1 u |
+ 35 |
|
| After |
8 u |
4 u |
16 u |
|
Comparing Rael
and Jenson in the end |
2 |
1 |
|
|
Comparing Luis
and Jenson in the end |
|
1 |
4 |
|
Number of pencils that Rael had in the end
= 2 x 4 u
= 8 u
Number of pencils that Luis had in the end
= 4 x 4 u
= 16 u
Total number of pencils at first
= 8 u + 27 + 5 u + 16 u - 35
= 29 u - 8
29 u - 8 = 224
29 u = 224 + 8
29 u = 232
1 u = 232 ÷ 29 = 8
Number of pencils that Luis had at first
= 16 u - 35
= 16 x 8 - 35
= 128 - 35
= 93
Answer(s): 93
