Kara and Sonny went to see a movie at the local theater.

Kara paid $13.00 for 1 large box of popcorn and 2 large soft drinks.

Sonny paid $8.50 for 1 large box of popcorn and 1 large soft drink.

In the system of equations below, p represents the cost of 1 large box of popcom and srepresents the cost of 1 large soft drink.

p + 2 = 13.00

p + s = 8.50

What is the value of p, the cost of 1 large box of popcorn?

popcorn=4$

soft drink=4.5$

Step-by-step explanation:

if we used omitting method:

1-we multiply (p+s=8.5) by (-2) so we could get rid of (s) and be leftover with (p)

so: (-2p-2s = - 17)

2 - we subtract this equation from (p+2s=13) and the result will be (-p = - 4)

3 - divide them by (-1) and the result is (p=4)

4 - (p+s=8.5), substitute (p) with (4) and make it go to the other side with negative sign and the result of (s) is (8.5-4=4.5)

if we used substituting method:

1 - (p+s=8.50), we will make (s) go to the other side with negative sign so the result is (p=8.50-s)

2 - (p+2s=13.00), substitute (p) with (8.50-s):

(8.50-s+2s=13)

3 - make (8.50) go to the other side with negative sign:

(s=13-8.50=4.5) and then you could get (p)