SOLUTION: 180 people at a civic club fundraiser. Members pay $4.50 per ticket and NONmembers pay 8.25 per ticket. If total is $1,222.50 then how many members attended and how many non member

Question 228538: 180 people at a civic club fundraiser. Members pay $4.50 per ticket and NONmembers pay 8.25 per ticket. If total is $1,222.50 then how many members attended and how many non members attended.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
180 people at a civic club fundraiser. Members pay $4.50 per ticket and NONmembers pay 8.25 per ticket. If total is $1,222.50 then how many members attended and how many non members attended.

Step 1. Let x be the number of members.

Step 2. Let 180-x be the number of nonmembers since there are 180 people.

Step 3. Let 4.50x be the dollar value of tickets for members.

Step 4. Let 8.25(180-x) be the dollar value of tickets for non-members.

Step 5. Then, is the total value of tickets sold.

Step 6. Solving yields the following steps.

Add 3.75x-1222.50 to both sides of the equation

Divide by 3.75 to both sides of the equation

and

Check dollar value with these numbers:

which is a true statement.

Step 7. ANSWER. The number of tickets sold to members is 70 and the amount of tickets sold to non-members is 110.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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