Question 1202547
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Horses sold for $400 each and ponies for only $100. 
Weir spent $4500 and bought 5 more horses than ponies. How many horses did she buy?
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Let x be the number of the horses.

Then the number of the ponies is (x-5).


Write the total money equation

    400*x + 100*(x-5) = 4500  dollars.


Simplify and solve

    400x + 100x - 500 = 4500

        500x = 4500 + 500

        500x = 5000

           x = 5000/500 = 10.


<U>ANSWER</U>.  10 horses and 10-5 = 5 ponies.


<U>CHECK</U>.   Check the total cost  10*400 + 5*100 = 4500  dollars.   ! Precisely correct !
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Solved.