Will give points! 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)

Part (a): number of minutes of butterfly strokes is xnumber of minutes of breaststrokes is ywe are given that: he practices breaststrokes 20 minutes more than butterfly stroke. this means that: y = 20 + xwe are also given that: he practices a total of 50 minutes. this means that: x + y = 50based on the above, the pair of linear equations representing the situation would be as follows: x + y = 50 > equation iy = 20 + x > equation iipart (b): we need to get the values of x and y.to do so, substitute with equation ii in equation i and solve for x as follows: x + y = 50x + 20 + x = 502x = 50 - 202x = 30x = 15substitute with x in equation ii to get y as follows: y = 20 + xy = 20 + 15y = 35based on the above: number of minutes of butterfly strokes = x = 15 minutesnumber of minutes of breaststrokes = y = 35 minutespart (c): we are given that number of butterfly stroke = x = 45 minuteswe know that number of breaststrokes is 20 more than butterfly strokes.butterfly strokes = 20 + 45 = 65 minutestherefore, ted would need a total of 45 + 65 = 110 minutes of practicesince we know that he practices 50 minutes only, therefore, this is not possible.hope this : )

10,000 hope i ! : )