A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five students have burritos an

Question

A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five students have burritos and two have tacos, the bill will be $22.50. Find the price of each taco and burrito

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Ayla 4 days 2021-10-10T21:31:55+00:00 1 Answer 0

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    2021-10-10T21:33:15+00:00

    Answer:

    The price of the burrito is $3.5 and the price of the taco is $2.5.

    Step-by-step explanation:

    2x+5y=19.5

    5x+2y=22.5

    ——————

    5(2x+5y)=5(19.5)

    -2(5x+2y)=-2(22.5)

    —————————–

    10x+25y=97.5

    -10x-4y=-45

    ———————–

    21y=52.5

    y=52.5/21=2.5

    2x+5(2.5)=19.5

    2x+12.5=19.5

    2x=19.5-12.5

    2x=7

    x=7/2=3.5

    x=3.5, y=2.5

    The price of the burrito is $3.5 and the price of the taco is $2.5.

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