Cathy and Winnie shared a box of pens. Cathy had 83% of the total pens. if Cathy gave 165 of her pens to Winnie, both would have the same number of pens. How many pens did Cathy have?
| |
Cathy |
Winnie |
Total |
| Before |
83% |
17% |
100% |
| Change |
- 33% |
+ 33% |
|
| After |
50% |
50% |
100% |
Total number of pens that Cathy and Winnie shared = 100%
If Cathy gave 165 pens to Winnie, both would have the same number of pens.
Number of pens that each would have in the end
= 100% ÷ 2
= 50%
Number of pens that Cathy gave to Winnie
= 83% - 50%
= 33%
33% → 165
1% → 165 ÷ 33 = 5
Number of pens that Cathy had
= 83%
= 83 x 5
= 415
Answer(s): 415
