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dsp73
3 years ago
7

In order to burn calories and lose weight, Vera is trying to incorporate more exercise into her busy schedule. She has several s

hort exercise DVDs she can complete at home. Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. How many calories does each workout burn?
Mathematics
1 answer:
mel-nik [20]3 years ago
8 0

Answer:each session of body sculpting workouts burns 51 calories.

Each session of Yoga workouts burns 83 calories.

Step-by-step explanation:

Let x represent the number of calories that she burnt doing one body sculpting workout session.

Let x represent the number of calories that she burnt doing one Yoga session.

Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that

2x + 5y = 517 - - - - - - - - - -1

This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that

2x + y = 185 - - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

4y = 332

y = 332/4 = 83 calories

Substituting y = 83 into equation 2, it becomes

2x + 83 = 185

2x = 185 - 83 = 102

x = 102/2 = 51 calories

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