Question

Matilda practices guitar for a total of 70 minutes every day. She spends 10 minutes more practicing the electric guitar than the acoustic guitar.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Matilda practices the acoustic guitar every day (x) and the number of minutes she practices the electric guitar every day (y).

Part B: How much time does Matilda spend on practicing the acoustic guitar every day?

Part C: Is it possible for Matilda to have spent 50 minutes practicing the electric guitar every day? Explain your reasoning.

Answer 1

PART b=30

Answer 2

A.
y+10=x
70=x+y
C. No because if she spent 50 minutes practicing the electric guitar everyday that would mean she spends 40 minutes practicing the acoustic guitar everyday which would mean she spends 90 minutes practicing everyday.

Answer 3

Thank you!