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4 June, 23:12

Julie, Bruno, and Carl participated in a jump rope event as a fundraiser. Julie's mom pledged to donate $1.25 for each jump Julie completed over 100. Bruno's dad pledged to donate $6 plus $0.40 for each jump Bruno completed. Carl's grandfather pledged to donate $0.30 for each jump Carl completed. Julie's mom donated $58.75, Bruno's dad donated $58.80, and Carl's grandfather donated $54.00. Order the students from least to greatest based on the number of jumps they completed during the fundraiser.

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  1. 4 June, 23:17
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    To summarize what has been given in the problem, first list the donations given by Julie's mom (JM), Bruno's dad (BD), and Carl's grandfather (CG).

    JM = $58.75

    BD = $58.80

    CG = $54.00

    Next, we translate the word problem into equations:

    (1) 58.75 = 1.25x

    (2) 58.80 = 6 + 0.4y

    (3) 54 = 0.30z

    where,

    x = number of jumps Julie completed over 100

    y = number of jumps Bruno completed

    z = number of jumps Carl completed

    Equation (1) refers to the statement "Julie's mom pledged to donate $1.25 for each jump Julie completed over 100." Equation (2) refers to "Bruno's dad pledged to donate $6 plus $0.40 for each jump Bruno completed. " Equation (3) refers to Carl's grandfather pledged to donate $0.30 for each jump Carl completed.

    Solving each equation separately, we then get:

    x = 58.75/1.25 = 47

    y = (58.80-6) / 0.4 = 132

    z = 54/0.30 = 180

    Note that Julie has completed 100 jumps + 47 jumps which her Mom pledged to donate for.

    Thus, the order of the students from least to greatest number of jumps is:

    Bruno = 132 jumps

    Julie = 147 jumps

    Carl = 180 jumps
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