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4. Each morning you do a combination of aerobics, which burns about 12 calories per

minute, and stretching, which burns about 4 calories per minute. Your goal is to burn

416 calories during a 60-minute workout. How long should you spend on each type of

exercise to burn the 416 calories?

Answer :

Raphealnwobigo

22 minutes is spent doing aerobics and 38 minutes doing stretching

Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.

Since the goal is to do a 60-minute workout, hence:

x + y = 60     (1)

Also, 416 calories needs to be burnt hence:

12x + 4y = 416    (2)

We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:

8x = 176

x = 22 minutes

Put x = 22 in (1)

22 + y = 60

y = 38 minutes

Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.

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