Kelvin is having a party and has invited 24 friends. He plans to purchase sodas that cost $5.00 for a 12-pack and chips that cos

Question

Kelvin is having a party and has invited 24 friends. He plans to purchase sodas that cost $5.00

for a 12-pack and chips that cost $3.00 per bag. He wants each friend to have at least two sodas. Kelvin’s

budget is $35.00. Use the system of linear inequalities below to represent this situation.

5x + 3y = 35

x 24

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2 days 2021-10-11T21:29:06+00:00 1 Answer 0

Answers ( )

    0
    2021-10-11T21:31:05+00:00

    Answer:

    The required system of inequality would be,

    5x + 3y ≤ 35, x ≥ 4, y ≥ 0

    Step-by-step explanation:

    Let x be the number of packs of 12 sodas and y be the number of bags of chips

    ∵ Each pack of 12 sodas costs $ 5.00 and each bag of chips costs $ 3.00

    So, the total spending = ( 5x + 3y ) dollars,

    Now, according to the question,

    Total budget is $ 35.00

    \implies 5x + 3y \leq 35

    Again,

    Number of friend = 24,

    Also, least number of sodas for each friend = 2 × number of friends = 2 × 24 = 48,

    One pack of soda = 12 sodas

    ⇒ 1 soda = 1/12 packs of sodas

    ⇒ 48 sodas = 4 packs of sodas

    So, number of packs of sodas ≥ 4

    x ≥ 4

    Since, number of bags can not negative ⇒ y ≥ 0

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