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
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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.
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