SOLUTION: To participate in a school trip, Kim had to earn $85 in one week. Kim could earn $8 per hour babysitting and $15 per hour for yard work, but Kim's parents limit work time to 8 hour

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: To participate in a school trip, Kim had to earn $85 in one week. Kim could earn $8 per hour babysitting and $15 per hour for yard work, but Kim's parents limit work time to 8 hour      Log On


   

Question 1123964: To participate in a school trip, Kim had to earn $85 in one week. Kim could earn $8 per hour babysitting and $15 per hour for yard work, but Kim's parents limit work time to 8 hours per week.
a. Write two equations, one that represents the condition on the total number of hours to be worked, and the other which relates the number of hours worked at each job toward the fund-raising goal.
b. Solve the system of equations you wrote in Part a to find out how many hours Kim will have to work at each job to exactly meet the income goal and the time constraint.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
b, hours babysitting
y, hours yard work

system%28b%2By%3C=8%2C8b%2B15y%3E=85%29, inequalities; not equations


The second question can be done using equations.
" to exactly meet the income goal and the time constraint."


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system%288b%2B8y=64%2C8b%2B15y=85%29
E2 - E1
7y=31
y=3
-
b=5

5 hours babysitting
and
3 hours doing yard work