Daniel, Riordan and Clayton collected pens in the ratio of 9 : 10 : 4. After Clayton gave
35 to Daniel and Riordan, Clayton had 166 less pens than Daniel. The number of pens that Riordan had increased by 15%. How many pens did Daniel and Clayton have in the end?
|
Daniel |
Riordan |
Clayton |
Before |
9 u |
10 u |
4 u |
Change |
+ 0.9 u |
+ 1.5 u |
- 2.4 u |
After |
9.9 u |
11.5 u |
1.6 u |
Number of pens that Clayton gave to Daniel and Riordan
=
35 x 4 u
= 2.4 u
Number of pens that Riordan received from Clayton
=
15100 x 10 u
= 1.5 u
Number of pens that Daniel received from Clayton
= 2.4 u - 1.5 u
= 0.9 u
Number of less pens that Clayton had less than Daniel
= 9.9 u - 1.6 u
= 8.3 u
8.3 u = 166
1 u = 166 ÷ 8.3 = 20
Number of pens that Daniel and Clayton had
= 9.9 u + 1.6 u
= 11.5 u
= 11.5 x 20
= 230
Answer(s): 230