Caden, Howard and Clayton collected pens in the ratio of 11 : 10 : 9. After Clayton gave
45 to Caden and Howard, Clayton had 620 less pens than Caden. The number of pens that Howard had increased by 40%. How many pens did Caden and Clayton have in the end?
| |
Caden |
Howard |
Clayton |
| Before |
11 u |
10 u |
9 u |
| Change |
+ 3.2 u |
+ 4 u |
- 7.2 u |
| After |
14.2 u |
14 u |
1.8 u |
Number of pens that Clayton gave to Caden and Howard
=
45 x 9 u
= 7.2 u
Number of pens that Howard received from Clayton
=
40100 x 10 u
= 4 u
Number of pens that Caden received from Clayton
= 7.2 u - 4 u
= 3.2 u
Number of less pens that Clayton had less than Caden
= 14.2 u - 1.8 u
= 12.4 u
12.4 u = 620
1 u = 620 ÷ 12.4 = 50
Number of pens that Caden and Clayton had
= 14.2 u + 1.8 u
= 16 u
= 16 x 50
= 800
Answer(s): 800
