Luke, John and Corwin collected pens in the ratio of 10 : 7 : 8. After Corwin gave
35 to Luke and John, Corwin had 545 less pens than Luke. The number of pens that John had increased by 10%. How many pens did Luke and Corwin have in the end?
| |
Luke |
John |
Corwin |
| Before |
10 u |
7 u |
8 u |
| Change |
+ 4.1 u |
+ 0.7 u |
- 4.8 u |
| After |
14.1 u |
7.7 u |
3.2 u |
Number of pens that Corwin gave to Luke and John
=
35 x 8 u
= 4.8 u
Number of pens that John received from Corwin
=
10100 x 7 u
= 0.7 u
Number of pens that Luke received from Corwin
= 4.8 u - 0.7 u
= 4.1 u
Number of less pens that Corwin had less than Luke
= 14.1 u - 3.2 u
= 10.9 u
10.9 u = 545
1 u = 545 ÷ 10.9 = 50
Number of pens that Luke and Corwin had
= 14.1 u + 3.2 u
= 17.3 u
= 17.3 x 50
= 865
Answer(s): 865
