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
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He gave away 2/3 of the apples to his sister and 23 oranges to his brother.
The ratio of number of apples
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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(52814) (Show Source):
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.
