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At westwood Middleschool, 648 students responded to a survey asking about their favorite type of exercise. Twice as many students chose jogging as swimming. The same number of students chose yoga as jogging. Twice as many students chose biking as jogging. How many students chose each type of exercise?

 Jan 15, 2020
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"At westwood Middleschool, 648 students responded to a survey asking about their favorite type of exercise. Twice as many students chose jogging as swimming. The same number of students chose yoga as jogging. Twice as many students chose biking as jogging. How many students chose each type of exercise?"

 

Let j = number of joggers, s = number of swimmers, y = number os yogis, b = number of bikers

 

We are told:

j = 2s

y = j

b = 2j

j + s + y + b = 648

 

Use the first three equations in the fourth:

j + j/2 + j + 2j = 648  or  (9/2)j = 648  hence j = 2*648/9  = 144

 

Can you take it from here?

 Jan 15, 2020

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