Gabriella's morning exercise routine includes both jogging and power yoga. On average, she
burns about 450 calories per hour while doing power yoga and about 660 calories per hour
while jogging. Gabriella wants to burn a total of 675 calories during her 75 minute workout this
morning. Which of the following systems could be used to find the number of minutes that she
should spend jogging, j. and the number of minutes that she should spend doing power yoga, p.
in order to meet this goal?

Respuesta :

The question is an illustration of systems of equations, where 2 or more equations model a particular subject.

The system of equations is:

[tex]\mathbf{j + p = 75}[/tex]

[tex]\mathbf{660j + 450p = 675}[/tex]

Let:

j represents jogging

p represents power yoga

She wants to spend 75 minutes.

This is represented as:

[tex]\mathbf{j + p = 75}[/tex]

The total calories to burn out is 675.

This is represented as:

[tex]\mathbf{660j + 450p = 675}[/tex]

Hence, the system of equations is:

[tex]\mathbf{j + p = 75}[/tex]

[tex]\mathbf{660j + 450p = 675}[/tex]

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