Cindy gave 8% of her collection of pens to Jean thereby increasing Jean's collection by 20%. If Cindy had 46 pens left, how many pens did Jean have at first?
|
Cindy's pens |
Jean's pens |
Before |
100% |
100 u |
Change |
- 8% |
+ 8% = + 20 u |
After |
92% |
120 u |
92% of Cindy's collection = 46
1% of Cindy's collection = 46 ÷ 92 = 0.5
8% of Cindy's collection = 8 x 0.5 = 4
20 u of Jean's collection = 4
1 u of Jean's collection =
420 = 0.2
100 u of Jean's collection = 100 x 0.2 = 20
Answer(s): 20