Warren, Asher and Charlie collected pens in the ratio of 9 : 4 : 6. After Charlie gave
45 to Warren and Asher, Charlie had 114 less pens than Warren. The number of pens that Asher had increased by 30%. How many pens did Warren and Charlie have in the end?
|
Warren |
Asher |
Charlie |
Before |
9 u |
4 u |
6 u |
Change |
+ 3.6 u |
+ 1.2 u |
- 4.8 u |
After |
12.6 u |
5.2 u |
1.2 u |
Number of pens that Charlie gave to Warren and Asher
=
45 x 6 u
= 4.8 u
Number of pens that Asher received from Charlie
=
30100 x 4 u
= 1.2 u
Number of pens that Warren received from Charlie
= 4.8 u - 1.2 u
= 3.6 u
Number of less pens that Charlie had less than Warren
= 12.6 u - 1.2 u
= 11.4 u
11.4 u = 114
1 u = 114 ÷ 11.4 = 10
Number of pens that Warren and Charlie had
= 12.6 u + 1.2 u
= 13.8 u
= 13.8 x 10
= 138
Answer(s): 138