Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training?

Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week

Solution:

Given that,

Kay spends 250 min/wk exercising

Therefore,

Exercising = 250 minutes per week

Ratio of time spent on aerobics to time spent on weight training is 3 to 2

Aerobics : weight training = 3 : 2

Let the time spent on aerobics be 3x

Let the time spent on weight training be 2x

Thus,

3x + 2x = 250

5x = 250

x = 50

Thus,

Time spent on aerobics = 3x = 3(50) = 150

Time spent on weight training = 2x = 2(50) = 100

Thus, Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x