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Pre-Algebra 8 Online
OpenStudy (mysangels):

Please answer! I will medal!

OpenStudy (mysangels):

OpenStudy (mathstudent55):

Each course has a fixed fee (annual fee) and a fee for 1 round. The cost of each course is the sum of the fixed fee cost and the cost of all games of 1 round. Let's call the cost of 1 round r.

OpenStudy (mathstudent55):

Course M: Total cost is fixed fee + fee from playing rounds Course A: Total cost is fixed fee + fee from playing rounds Ok so far?

OpenStudy (mysangels):

I think so. How does this help with the equation?

OpenStudy (mathstudent55):

Now we need to write the total cost of each course as an expression. Course M: fixed fee = 600 and each round is $20 We called r the number of rounds played. If each round costs $20, r rounds cost 20r The cost of course M is 600 + 20r

OpenStudy (mathstudent55):

Now we do the same for course A. The fixed fee is $450, and each round costs $25 That means r rounds cost 25r The cost of course A is 450 + 25r

OpenStudy (mathstudent55):

Now we have two expressions in terms of r, the number of rounds played for the cost of each course. Course M: 600 + 20r Course A: 450 + 25r

OpenStudy (mysangels):

Would the equation be 600+20r=450+25r?

OpenStudy (mathstudent55):

Now we set the two cost equal to each other.

OpenStudy (mathstudent55):

Yes, that's it.

OpenStudy (mathstudent55):

Now solve for r.

OpenStudy (mathstudent55):

Did you get a value for r?

OpenStudy (mysangels):

Thank you so much for yoir help!!! ^-^

OpenStudy (mysangels):

R=30?

OpenStudy (mathstudent55):

Great. That is correct. It takes 30 rounds of golf until the two courses cost the same. With fewer than 30 rounds of golf, Course M is more expensive because of the higher fixed fee ($600 vs $450).

OpenStudy (mathstudent55):

Now you should be able to answer part B.

OpenStudy (mysangels):

Thank you for EVERYTHING.

OpenStudy (mathstudent55):

You're welcome.

OpenStudy (mysangels):

You can play 30 rounds with course M, but only 18 rounds with course Q. You get to have 2 rounds eachonth. 12x2 is 24. And course M gives you enough rounds. Right?

OpenStudy (mysangels):

* each month

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