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Jackie runs and dances for 75 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
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.

PLEASE HELP DUE SOON!

Sagot :

SYcheatsidn
Since jacked ran 60 more miles than tim and dances as well the greater speed is 90
Semsee45idn

Answer:

A.  y = x + 25

    x + y = 75

B.  25 minutes

C.  50 minutes

Step-by-step explanation:

Define the variables:

  • Let x = the number of minutes Jackie runs every day.
  • Let y = the number of minutes Jackie dances every day.

Part A

If Jackie dances 25 minutes more than she runs:

[tex]\implies y=x+25[/tex]

If Jackie runs and dances for 75 minutes:

[tex]\implies x+y=75[/tex]

Part B

Substitute the first equation into the second equation and solve for x:

[tex]\implies x+(x+25)=75[/tex]

[tex]\implies 2x+25=75[/tex]

[tex]\implies 2x+25-25=75-25[/tex]

[tex]\implies 2x=50[/tex]

[tex]\implies 2x\div 2=50 \div 2[/tex]

[tex]\implies x=25[/tex]

Therefore, Jackie spends 25 minutes running everyday.

Part C

Substitute the found value of x into the first equation and solve for y:

[tex]\implies y=25+25[/tex]

[tex]\implies y=50[/tex]

Therefore, the greatest amount of time Jackie could spend dancing every day, given she will take a run, is 50 minutes.

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