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Your teacher is giving a test worth 200 points. There is a total of 30 five-point and ten-point questions. How many five-point questions are on the test?

Guest Jan 3, 2018
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Let x be the number of five-poin questions

Then the number of ten-point questions is  30-x

 

So....using  [the number of questions]  * [point value each]  =  total points, we have

 

x * 5  +  (30 - x) * 10   = 200

 

5x  + 300  -  10x   =  200    simplify

 

-5x  + 300  = 200      subtract 300 from both sides

 

-5x  = -100        divide both sides by  -5

 

x  =  20   = number of five-point questions

 

 

cool cool cool

CPhill  Jan 3, 2018

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