Jen gave 10% of her collection of pens to Shannon thereby increasing Shannon's collection by 30%. If Jen had 54 pens left, how many pens did Shannon have at first?
|
Jen's pens |
Shannon's pens |
Before |
100% |
100 u |
Change |
- 10% |
+ 10% = + 30 u |
After |
90% |
130 u |
90% of Jen's collection = 54
1% of Jen's collection = 54 ÷ 90 = 0.6
10% of Jen's collection = 10 x 0.6 = 6
30 u of Shannon's collection = 6
1 u of Shannon's collection =
620 = 0.2
100 u of Shannon's collection = 100 x 0.2 = 20
Answer(s): 20