I would be grateful if someone can help me in the below question
There are more apples in box A than in box B. 30 % of the apples in box A is 45 more than 40% of the apples in box B. If 10 % of the apples in box A is transferred to box B, there will be 200 more apples in box A than box B.
a) How many apples are there in box B?
b) How many percent less apples are there in box B than in box A?
Thanks for the help . In fact I can set up the the 2 equations needed and get the answer but I
wonder there is any particular hidden relationship between A and B which can be used to make
the required equation look simpler and easier to visualise for the given situation.
We can clean up the equations and make things easier..
multiplying both sides by 10
Then, multiplying the 1st equation by 8 and the 2nd by 3.....
I think that the method you are looking for may be the following.......
From the first clue (30% and 40%.....)
therefore, dividing by 3
and multiplying by 3
We required 0.1A and 0.9A to use in the 2nd clue (if we move 10% of A to B....)
allows us to solve for B..