SOLUTION: Mr. Rosario bought some numbers of apples and oranges in a ratio of 2:3. He gave away 2/3 of the apples to his sister and 23 oranges to his brother. The ratio of number of apples

Question 1139560: Mr. Rosario bought some numbers of apples and oranges in a ratio of 2:3.
He gave away 2/3 of the apples to his sister and 23 oranges to his brother.
The ratio of number of apples to the number of oranges that he has now is
3:2. How many apples did Mr. Rosario buy? I need help setting up the equation.
I can't seem to figure it out on my own. Thank you.
Answer by ikleyn(52817) (Show Source): You can put this solution on YOUR website!
.

As the condition states, originally Mr. R has 2x apples and 3x oranges, where x is some unknown number.


After all transactions we have this equation to find x


     = .


It is the equation you asked for.


It is exact translation of the condition into the Math / (equation) form.


In this stage the setup is done.


You still can to simplify the equation


     = ,   or


     = ,


     = 


    4x = 3*(9x-23).


At this point everything should be clear to you.


Since you did not ask to solve the problem, I leave it to you.

I just completed my part and answered your question.

-------------

To see many other similar solved problems and get fun, look into the lesson
- Virtual exchange between two persons
in this site.

Happy learning !

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when you post your "THANKS" in response to my solution.

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