Noah works at a concession stand selling bags of popcorn and cans of soda. A bag of popcorn costs $2.50 and a can of soda costs $1.50. One n

Question

Noah works at a concession stand selling bags of popcorn and cans of soda. A bag of popcorn costs $2.50 and a can of soda costs $1.50. One night, he notices that he sold a total of 300 items and collected a total of $522. Determine the system of equations that could be used to solve this problem, where x represents the number of bags of popcorn sold and y represents the number of cans of soda sold

in progress 0
Gia Bảo 2 weeks 2021-08-30T03:10:10+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-30T03:12:04+00:00

    Set up 2 equations:

    Total items sold: x + y = 300

    This gets rewritten as x = 300-y

    The second equation is for total amount made:

    2.50x + 1.50y = 522

    Replace x in the 2nd equation with the value of x from the first one:

    2.50(300-y) + 1.50y = 522

    Simplify:

    750 – 2.50y + 1.50y = 522

    Combine like terms:

    750 – y = 522

    Subtract 750 from both sides:

    -y = -228

    Divide both sides by -1 ( to make y positive)

    y = 228

    Now replace y in the first equation to solve for x:

    x+ 228 = 300

    Subtract 228 from both sides:

    x = 72

    He sold 72 bags of popcorn and 228 sodas.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )