Jackie runs and dances for a total of 55 minutes every day. she dances 25 minutes more 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? (3 points)
part c: is it possible for jackie to have spent 45 minutes dancing every day? explain your reasoning. (2 points)

Step-by-step answer

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part a:

.

.

part b:

jackie runs 15 minutes every day.

part c:

it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run

step-by-step explanation:

let's call and while jackie is dancing

let's call x while jackie is running

then we know that jackie runs and dances for a total of 55 minutes every day

this means that:

.

we also know that jackie dances 25 minutes more than she runs.

this meant that:

.

now we substitute the second equation in the first and solve for the variable x

.

jackie runs 15 minutes every day.

now we find the value of the variable -y

.

note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run

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