SOLUTION: Mrs. Hansen paid $60 for 9 people to see a movie. 6 of the 9 people were senior citizens and they had a %25 discount pn their tickets. What was the total cost of the movie for th

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Question 159893: Mrs. Hansen paid $60 for 9 people to see a movie. 6 of the 9 people were senior citizens and they had a %25 discount pn their tickets. What was the total cost of the movie for the six senior citizens?
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Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the regular price of the ticket p. Then if senior citizens get a 25% discount, they pay p-0.25p right? This is the same as 0.75p, or saying that they pay 75% of the original price. So if there were 6 of them, the total money spent on senior citizens was 6(0.75p) and the total amount of money spent on the regular people was 3p. So,
6%280.75p%29%2B3p=60
4.5p%2B3p=60
7.5p=60
p=8
So the regular price of the ticket was $8, thus the senior citizen tickets are 0.75(8)=6, or $6. So since there were 6 senior citizens, the total cost for the 6 senior citizens is 6(6)=$36.