Madeline packed some cookies into two bottles A and B. She packed 3/4 as many cookies into Bottle A as Bottle B at first. After transferring 24 cookies from Bottle A to Bottle B, there are now 1/4 as many cookies into Bottle A as Bottle B. How many more cookies were there in Bottle B than Bottle A at first?
Let x cookies into Bottle B first.
Now, Bottle A cookies = 3/4x
24 from Bottle A to Bottle B
∴ No A cookies in Bottle A = 3/4x-24
B = x + 24
On the given condition
1/4 (x+24)=3/4x-24
=> x+24=3x-96
=> 2x=96+24=120
=> x=120/2=60
=> x=60
There were 60 cookies in Bottle B
∴ in Bottle A = 60 * 3/4 = 45 cookies
Now (60-45) = 15
Ans, There were 15 cookies more in Bottle B than Bottle A out first.
