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.

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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