John and his friends but four bags of popcorn and three sodas at a movies for a

To answer this question you will set up a system of equations to represent each scenario.  Solve for one variable and substitute that in to the other equation to find the missing value.  This example will have you solving for p, the price of popcorn.

4p + 3s = 13.50    and 2p + 5s = 12

2p + 5s = 12
      -2p    -2p
5s = 12 - 2p
5         5
s = 2.4 - 0.4p

4p + 3s = 13.50 
4p + 3(2.4 - 0.4p) = 13.50
4p +7.2 - 1.2p = 13.5
 2.8p +7.2 = 13.5
       -7.2       -7.2 
   2.8p = 6.3
   2.8      2.8
   p = 2.25

The price of popcorn is 2.25 and the soda is (2.4 - 0.4 x 2.25) $1.50.

5 popcorn and 2 sodas will cost (2.25 x 5 + 1.50 x 2) = $14.25.

They include: Henotheism, belief in the supremacy of one god without denying the existence of others. Monotheism, the doctrine or belief that there is only one deity. Panentheism, the belief that a deity is a part of the universe as well as transcending it.

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