Judy works at a local bowling alley. She currently makes $300 per week after taxes plus $60 extra cash every other week for cleaning the lanes. Judy is trying to save up for a car. She really wants a Bug. She knows that she can buy a used Bug in good condition for between $6,600 and $9,900. The equation below represents this situation where x is the number of weeks worked and P is the price of the car:
1/2(60x) + 300x = P
What is the minimum number of weeks that Judy needs to work to buy her Bug?

A.)30 weeks
B.)20 weeks
C.)25 weeks
D.)10 weeks

Question

Judy works at a local bowling alley. She currently makes $300 per week after taxes plus $60 extra cash every other week for cleaning the lanes. Judy is trying to save up for a car. She really wants a Bug. She knows that she can buy a used Bug in good condition for between $6,600 and $9,900. The equation below represents this situation where x is the number of weeks worked and P is the price of the car:
 1/2(60x) + 300x = P
What is the minimum number of weeks that Judy needs to work to buy her Bug?

A.)30 weeks
B.)20 weeks
C.)25 weeks
D.)10 weeks

anonymous · Answer

$$\frac{ 1 }{ 2 }(60x)+300x= \frac{ 60x }{ 2 }+300x$$
$$\frac{ 60x }{ 2 }=30x$$ 
then you get:$$30x+300x=P$$

you can combine the terms and get
 $$330x$$
since it says minimum, you take $6600 as your minimum goal
thus you do
$$330x=6600\rightarrow \frac{ 330x }{ 330 }=\frac{ 6600 }{ 330 }$$
$$x=20$$