George, Mark and Chung collected pens in the ratio of 7 : 8 : 10. After Chung gave
35 to George and Mark, Chung had 290 less pens than George. The number of pens that Mark had increased by 40%. How many pens did George and Chung have in the end?
| |
George |
Mark |
Chung |
| Before |
7 u |
8 u |
10 u |
| Change |
+ 2.8 u |
+ 3.2 u |
- 6 u |
| After |
9.8 u |
11.2 u |
4 u |
Number of pens that Chung gave to George and Mark
=
35 x 10 u
= 6 u
Number of pens that Mark received from Chung
=
40100 x 8 u
= 3.2 u
Number of pens that George received from Chung
= 6 u - 3.2 u
= 2.8 u
Number of less pens that Chung had less than George
= 9.8 u - 4 u
= 5.8 u
5.8 u = 290
1 u = 290 ÷ 5.8 = 50
Number of pens that George and Chung had
= 9.8 u + 4 u
= 13.8 u
= 13.8 x 50
= 690
Answer(s): 690
