During the summer, jody earns 10$ per hour babysitting and 15$ per hour doing yardwork. This week she worked 34 hours and earned 410$. If x represents the number of hours she babysat and y represents the number of hours she did yardwork, which system of equations models this situation?

Question

Mathematics

Guest

19 June, 08:11

During the summer, jody earns 10$ per hour babysitting and 15$ per hour doing yardwork. This week she worked 34 hours and earned 410$. If x represents the number of hours she babysat and y represents the number of hours she did yardwork, which system of equations models this situation?

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Answers (1)

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Kaylee Benjamin · Answer 1

x + y = 34

10*x + 15*y = 410

Step-by-step explanation:

The equation system that models the situation would be made up of two equations:

The first equation would be the total number of hours for both jobs, that is, the number of babysat work hours and the number of yardwork work hours equals 34 total hours.

x + y = 34

The second equation would be the total amount of money earned, in this case it would be to multiply the earnings of each job by the number of hours of each job and add it up and you should give a total of 410 which are your total earnings.

10 * x + 15 * y = 410

Therefore the system of equations would be:

x + y = 34

10 * x + 15 * y = 410