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11 November, 15:11

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?

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Answers (1)
  1. 11 November, 15:31
    0
    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)
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