Mr. R has some money to buy oranges, if he will buy 15 oranges he will need $90 more, if he will buy 10 oranges he will have $60 left. how much money has mr. R?

Please kindly solve this using George Polya method.. guess and check...

You've already received an answer to this problem.

Now follow the steps outlined in this site.

http://teacher.scholastic.com/lessonrepro/lessonplans/steppro.htm

MR SANTIAGO AM TRY TO GO IN THE HOMEWEK

To solve this problem using George Polya's method of guess and check, we will start by making some assumptions and then adjusting them based on the given information.

Let's assume the cost of each orange is represented by "c" and the total money Mr. R has is represented by "m".

Step 1: Make an assumption about the number of oranges Mr. R will buy.
Let's assume Mr. R will buy "x" oranges.

Step 2: Relate the assumption with the given information.
According to the problem, if Mr. R buys 15 oranges, he will need $90 more. So, we can create an equation based on this:
15c + 90 = m

Step 3: Adjust the assumption based on additional information.
The problem also states that if Mr. R buys 10 oranges, he will have $60 left. We can create another equation based on this:
10c = m - 60

Step 4: Solve the system of equations.
We now have a system of two equations with two variables (c and m). We can solve these equations simultaneously to find the values of c and m.

Equation 1: 15c + 90 = m
Equation 2: 10c = m - 60

To solve this, we can do a substitution or elimination method.

Let's use the substitution method for this example:

From Equation 2, we can isolate m:
m = 10c + 60

Now substitute this expression for "m" in Equation 1:
15c + 90 = 10c + 60

Simplify the equation:
5c = -30

Divide both sides by 5:
c = -6

Now substitute the value of c back into either of the original equations to find m:
m = 10(-6) + 60
m = 0

Step 5: Analyze the solution.
Our solution implies that the cost of each orange (c) is -6, which doesn't make sense in the context of the problem. Since the cost and money cannot be negative, we need to reconsider our previous assumptions.

Based on the given information, there seems to be a contradiction in the problem statement. It is not possible to determine the exact amount of money Mr. R has without further clarification or adjustment of the problem statement.

Therefore, there is no specific solution to this problem using the given information.