Answer:
Part A) x + y=125, y = x +45
Part B) 85 minutes
Part C) Not possible
Step-by-step explanation:
Given that Angela plays soccer and golf for a total of 125 minutes everyday.
Number of minutes she plays golf = x minutes
Number of minutes she plays soccer = y minutes
<u>Part A:</u>
Total time she plays golf and soccer is 125 minutes.
Angela plays Soccer for 45 minutes longer than she plays golf i.e.
The pair of linear equations are:
<u>Part B:</u>
Let us solve the linear equations (1) and (2):
Putting value of y from equation (2) into equation (1):
Putting value of x in equation (2):
Angela plays golf for 85 minutes daily.
<u>Part C:</u>
Given that
Angela spends 80 minutes on soccer.
Total Time = 125 minutes
Time spent on golf = 125 - 80 = 45 minutes
Time spent on soccer longer than golf = 80 - 45 = 35 minutes 45 minutes
Hence, it is not possible for Angela to have spent 80 minutes playing soccer if she plays for a total of exactly 125 minutes and plays soccer for 45 minutes longer than she plays golf.
So, the answers are:
Part A) x + y=125, y = x +45
Part B) 85 minutes
Part C) Not possible