Question

During the summer , you want to earn at least $150 per week. You can earn$10 per hour working for a farmer, and $5 per hour babysitting.you can work at most 25 hrs per week. -write a system of linear inequalities that models the situation
-solve your system,and tell how many hours per week you would work babysitting
-if you work 10hrs per week on the farm and 12 hours per week babysitting,will you meet your goal?

Answer 1

X = nr. hrs working for a farmer;
y = nr. hrs. babysitting;
x + y <= 25;
10x + 5y >= 150

a) Solve the system => one of the solution is  x =5; y = 20(babysitting)
b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.

Answer 2

You can work only as a farmer 15 hours per week 
10x+5y>=150    =>    10 x >= 150- 5y   :5  =>  2x >=30-y => 30-2x <= y 
                                                                                         x+y<= 25 => 
y>=30-2x
y<=25-x