Jim sells candy bars to his family and friends as a fundraiser. The plain chocolate bars costs $1.50, and the king size chocolate bar costs

Question

Jim sells candy bars to his family and friends as a fundraiser. The plain chocolate bars costs $1.50, and the king size chocolate bar costs $2.25. Jim sells a total of 55 candy bars, and earns a total $95.25. Write a system of equations and find out how many plain chocolate bars he sold, and how many king size bars he sold.

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bonexptip 4 years 2021-09-05T02:42:41+00:00 1 Answers 13 views 0

Answers ( )

  1. taiduc
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    2021-09-05T02:44:07+00:00
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    Answer:

    38 plain chocolate bars and 17 king-size chocolate bars.

    Step-by-step explanation:

    Let’s define the variables:

    P = number of plain chocolate bars sold

    K = number of king chocolate bars sold

    We know that each plain one costs $1.50, and each king one costs $2.25, then the total revenue is:

    P*$1.50 + K*$2.25

    Now we know that Jim sells a total of 55 candy bars, then:

    P + K = 55

    And we know that the total revenue is $95.25, then:

    P*$1.50 + K*$2.25 = $95.25

    Then we have the system of equations:

    P + K = 55

    P*$1.50 + K*$2.25 = $95.25

    To solve this we need to isolate one of the variables in one of the equations, I will isolate P in the first equation to get:

    P = 55 – K

    Now we can replace is on the second one to get:

    (55 – K)*$1.50 + K*$2.25 = $95.25

    Now we can solve this for K

    $82.50 – K*$1.50 + K*$2.25 = $95.25

    K*($2.25 – $1.50) = $95.25 – $82.50 = $12.75

    K*$0.75 = $12.75

    K = $12.75/$0.75 = 17

    This means that Jim sold 17 king-size chocolate bars.

    Now we can replace this in the equation:

    P + K = 55

    P + 17 = 55

    P = 55 – 17  =38

    P = 38

    Jim sold 38 plain chocolate bars.

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