SOLUTION: Mr Abbey bought 8 plates and 12 drinking cups from a shop . A plate cost him 5$ more than a drinking cup . If he spent 940$ altogether how much did a plate and a drinking cup cost

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Question 1208453: Mr Abbey bought 8 plates and 12 drinking cups from a shop . A plate cost him 5$ more than a drinking cup . If he spent 940$ altogether how much did a plate and a drinking cup cost
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!






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The plate and cup, one each together cost $95.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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Mr Abbey bought 8 plates and 12 drinking cups from a shop.
A plate cost him 5$ more than a drinking cup. If he spent 940$ altogether
how much did a plate and a drinking cup cost
~~~~~~~~~~~~~~~~~ 

Let "c" be the cost for a cup, in dollars..
Then the cost for a plate is (c+5) dollars.


Write an equation for total cost

    12c + 8*(c+5) = 940  dollars.


Simplify, solve and find "c"

    12c + 8c + 40 = 940,

    12c + 8c = 940 - 40,

       20c   =    900

         c   =    900/20 = 90/2 = 45.


ANSWER.  One cup costs $45.  One plate costs  $45 + $5 = $50.


CHECK.   12*45 + 8*50 = 940  dollars,  total cost.   ! correct !

Solved.



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