Fred, Owen and Chung collected pens in the ratio of 9 : 10 : 4. After Chung gave
45 to Fred and Owen, Chung had 376 less pens than Fred. The number of pens that Owen had increased by 20%. How many pens did Fred and Chung have in the end?
| |
Fred |
Owen |
Chung |
| Before |
9 u |
10 u |
4 u |
| Change |
+ 1.2 u |
+ 2 u |
- 3.2 u |
| After |
10.2 u |
12 u |
0.8 u |
Number of pens that Chung gave to Fred and Owen
=
45 x 4 u
= 3.2 u
Number of pens that Owen received from Chung
=
20100 x 10 u
= 2 u
Number of pens that Fred received from Chung
= 3.2 u - 2 u
= 1.2 u
Number of less pens that Chung had less than Fred
= 10.2 u - 0.8 u
= 9.4 u
9.4 u = 376
1 u = 376 ÷ 9.4 = 40
Number of pens that Fred and Chung had
= 10.2 u + 0.8 u
= 11 u
= 11 x 40
= 440
Answer(s): 440
