the cost of five posters and three flags is $137.25. the cost of three posters and four flags is $122.50. what is the cost of one poster?

Question

the cost of five posters and three flags is $137.25. the cost of three posters and four flags is $122.50. what is the cost of one poster?

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Kinsley 2 weeks 2021-10-11T21:06:14+00:00 2 Answers 0

Answers ( )

    0
    2021-10-11T21:07:30+00:00

    5p + 3f = 137.25 | x 3

    3p + 4f = 122.50 | x 5

    15p + 9f = 411.75

    15p + 20f = 612.50

    15p + 20f – 15p – 9f = 612.50 – 411.75

    20f – 9f = 200.75

    11f = 200.75

    f = $18.25

    3p + 4(18.25) = 122.50

    3p = 122.50 – 73

    3p = 49.50

    p = $16.50

    0
    2021-10-11T21:08:04+00:00

    Answer:

    $16.50

    Step-by-step explanation:

    let cost of poster be p and cost of flag be f, then

    5p + 3f = 137.25 → (1)

    3p + 4f = 122.5 → (2)

    Multiplying (1) by 4 and (2) by – 3 and adding will eliminate f

    20p + 12f = 549 → (3)

    – 9p – 12f = – 367.5 → (4)

    Add (3) and (4) term by term

    11p = 181.5 ( divide both sides by 11 )

    p = 16.5

    Thus the cost of 1 poster is $16.50

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