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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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