Ted practices two types of swimming styles for a total of 50 minutes every day. He practices the breaststroke 20 minutes more than he practices the butterfly stroke. Part A: Write a pair of linear equations to show the relationship between the number of minutes Ted practices the butterfly stroke every day (x) and the number of minutes he practices the breaststroke every day (y). (5 points)

Part B: How much time does Ted spend on practicing the breaststroke every day? (3 points)

Part C: Is it possible for Ted to have spent 45 minutes practicing the butterfly stroke every day? Explain your reasoning. (2 points)

A.  x+y = 50; y=  x+20

B.Ted spend on practicing the breaststroke every day

C. Not possible as he spent 50 minutes in total for both styles.

Step-by-step explanation:

Let x = Number of minutes spent on butterfly stroke.

y= Number of minutes spent on breaststroke.

Part A.

Total time : x+y = 50   ...(i)

"He practices the breaststroke 20 minutes more than he practices the butterfly stroke."

y=  x+20 ....(ii)

Required pair of linear equations: x+y = 50; y=  x+20

Part B. Put value of y from (ii) in (i) ,

From (ii), y= 15+20= 35

Ted spend 35 minutes on practicing the breaststroke every day.

Part C. If x= 45

Then, y= 45+20= 65 > 50 which is not possible as he spent 50 minutes in total for both styles.

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