Question

Susie AnnaMarie makes $12 per hour cutting grass and $14 per hour tutoring. One weekend, she worked a total of 14 hours and made $184.

Answer 1

Answer: This is a system of equations problem. We can set up the following equations:

x + y = 14 (where x is the number of hours Susie spent cutting grass and y is the number of hours Susie spent tutoring)

12x + 14y = 184 (where 12x represents the amount of money Susie made cutting grass and 14y represents the amount of money Susie made tutoring)

We can solve for x and y using different methods such as substitution or elimination.

By substitution:

x + y = 14

12x + 14y = 184

We know that y = 14-x.

so we can substitute it in second equation.

12x + 14(14-x) = 184

12x + 196 - 14x = 184

-2x = -12

x = 6

y = 14-x = 14-6 = 8

So Susie worked 6 hours cutting grass and 8 hours tutoring.

You can cross check by putting the values in the first equation x+y = 14.

Explanation: