Gwen gave 15% of her collection of cards to Min thereby increasing Min's collection by 20%. If Gwen had 51 cards left, how many cards did Min have at first?
|
Gwen's cards |
Min's cards |
Before |
100% |
100 u |
Change |
- 15% |
+ 15% = + 20 u |
After |
85% |
120 u |
85% of Gwen's collection = 51
1% of Gwen's collection = 51 ÷ 85 = 0.6
15% of Gwen's collection = 15 x 0.6 = 9
20 u of Min's collection = 9
1 u of Min's collection =
945 = 0.45
100 u of Min's collection = 100 x 0.45 = 45
Answer(s): 45