Hazel gave 14% of her collection of coins to Natalie thereby increasing Natalie's collection by 20%. If Hazel had 43 coins left, how many coins did Natalie have at first?
|
Hazel's coins |
Natalie's coins |
Before |
100% |
100 u |
Change |
- 14% |
+ 14% = + 20 u |
After |
86% |
120 u |
86% of Hazel's collection = 43
1% of Hazel's collection = 43 ÷ 86 = 0.5
14% of Hazel's collection = 14 x 0.5 = 7
20 u of Natalie's collection = 7
1 u of Natalie's collection =
735 = 0.35
100 u of Natalie's collection = 100 x 0.35 = 35
Answer(s): 35