Question

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 hours she babysat and y represents the number of hours she did yardwork, which system of equations models this situation?

Answer 1

Given:

Jody earns $10 per hour babysitting and $15 per hour doing yardwork.

This week she worked 34 hours and earned $410.

To find:

The system of equations models this situation.

Solution:

Let x represents the number hours she babysat and y represents the number of hours she did yardwork.

Total number of hours is 34.

$x+y=34$

Total income is $410.

$10x+15y=410$

Therefore, the required system of equations has equations $x+y=34$ and $10x+15y=410$.