Max practices the piano and the guitar for a total of 150 minutes every day. He practices the guitar for 80 minutes longer than he practices the piano.


Part A: Write a pair of linear equations to show the relationship between the number of minutes Max practices the guitar (x) and the number of minutes he practices the piano (y) every day. (5 points)


Part B: How much time does Max spend practicing the piano every day? Show your work. (3 points)


Part C: Is it possible for Max to have spent 125 minutes practicing the guitar if he practices for a total of exactly 150 minutes and practices the guitar for 80 minutes longer than he practices the piano? Explain your reasoning.


I need an answer ASAP WITH ANSWERS WILL GET BRAINLIEST AND WILL GET 29 POINTS....

Algebra 1

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Answer:

A .x+y=150 y=x+80

B. x=35 y=115

x + (x + 80) = 150

2x + 80 = 150

2x = 70

x =35 practicing the guitar

then put x back in to solve for y

C. no because that is a whole 10 minutes more so it would be for 160 minutes of practice instead.

Step-by-step explanation:

this is my first time answering a question so hope it helps :)

  • Part A:

A pair of linear equations to show the relationship between the number of minutes ;

x=Max practices the guitar

y= the number of minutes he practices the piano

  • Pair of equation are :

x+y=150

y=x+80

  • Part B:

The time does Max spend practicing the piano every day:

  • x=35 y=115
  • x + (x + 80) = 150
  • 2x + 80 = 150
  • 2x = 70
  • x =35

Subsitute x back in to solve for y.

x+y=150  

35+y=150

y=115

  • Part C:

No , it is not possible because that is a whole 10 minutes more so it would be for 160 minutes of practice instead.

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