the soccer teams sells pizza and drinks during football games to raise money for their club . 50 slices of pizza and 100 drinks for $275. 100 slices of pizza and 60 drinks will sell for $270. How much does each slice of pizza sell for ?

$1.5

Step-by-step explanation:

From the given problem, we would set up two equations to solve for the cost of each slice of pizza;

 Let the cost of a slice of pizza  = P

 Let the cost of a drink  = D

  50 slices of pizza and 100 drinks for $275

          50p + 100D  = 275 i

 100 slices of pizza and 60 drinks will sell for $270  

           100p + 60D  = 270 ii

  The two equations:

         50p + 100D  = 275 i

        100p + 60D  = 270 ii

Multiply equation i by 3 and equation ii by 5

        150p + 300D  = 825      iii

        500p + 300D  = 1350   iv

Now,

Subtract iii from iv;

               350p  = 525

                   p = $1.5