Question

Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs. 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. (5 points) Part B: How much time does Jackie spend running every day? Show your work. (3 points) Part C: Is it possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs? Explain your reasoning. (2 points)

Answer 1

It is not possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs.

System of equations

These are equations that is made of unknown variables.

Let the time she dances be x

Let the time she runs be y

If Jackie runs and dances for a total of 55 minutes every day, the;

x + y = 55 ............ 1

If She dances for 25 minutes longer than she runs, then;

x = y + 25 ............. 2

The pair of equation are x + y = 55 and x = y + 25

Substitute 2 into 1

y + 25 + y= 55

2y .= 30

y = 15

He spent 15 minutes running everyday

x = 55 - 15

x= 40minutes

It is not possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs.

Learn more on system of equation here: https://brainly.com/question/847634

#SPJ1