Question 1092059
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From the condition, the cost of one orange is 50 cents and the cost of one apple is 50 - 10 = 40 cents.


Let x be the number of apples.

40x + 50*(9-x) = 410  cents  ====>  40x + 450 - 50x = 410  ====>  -10x = 410-450 = -40  ====>  x = 4.


<U>Answer</U>.  4 apples and 9-4 = 5 oranges.
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There are 3 (three) ways to solve this problem.


<pre>
    1.  Writing the system of 2 equations in two unknowns.

    2.  Using one equation and one unknown (it is what I did in my post)

    3.  To solve the problem MENTALLY, without using equations.

        It is what the tutor @greenestamps did in his post.
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See the lessons 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/misc/Problem-on-two-wheels-and-three-wheels-bicycles-in-a-sale.lesson>Problem on two-wheel and three-wheel bicycles</A>, 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/misc/Problem-on-animals-at-a-farm.lesson>Problem on animals at a farm</A> &nbsp;and 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/misc/Problem-on-tablets-in-containers.lesson>Problem on pills in containers</A> 

in this site, where similar problems were solved using all three methods.