Avery and Annabelle go to the movie theater and purchase refreshments for their friends. Avery spends a total of $31.25 on 12 bags of popcorn and 2 drink.

Annabelle spends a total of $66.00 on 4 bags of popcorn and 8 drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

31.25=12p+2d and 66.00=4p+8d

Step-by-step explanation:

First, lets say popcorn is p and drinks is d.

Avery spends 31.25 dollars to buy 12 bags of popcorn and 2 drinks. The world problem basically explains it itself. 31.25=12p+2d.

Annabelle spends 66 dollars on 4 bags of popcorn and 8 drinks. Same thing for this, it would be 66=4p+8d.

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a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional