Question

Jackie runs and dances for 75 minutes every day.
She dances 25 minutes more than she runs.
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Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie
runs (x) and the number of minutes she dances (y) every day.

Part B: How much time does Jackie spend running every day? Show your work.

Part C: What is the greatest amount of time she could spend dancing every day, given she will take a
run. Explain your reasoning.

Answer 1

Answer:

Step-by-step explanation:

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie

runs (x) and the number of minutes she dances (y) every day.

x=x/2   y= 2x

Part B: How much time does Jackie spend running every day? Show your work.

     75   -        25             = 50             /2                                   =25

total             dance                            number of activities

minutes        exceed

run=25      dance=50

Part C: What is the greatest amount of time she could spend dancing every day, given she will take a

run. Explain your reasoning.

24 hours /3 = 8 hours

dance:16 hours

run:8 hours

RATIO

1     :   2

run   dance