# algebra

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A movie theater has 400 seats. Tickets at the theater cost \$8 for students, \$10 for adults, and \$7 for senior citizens. On a night when all the seats were sold, the theater made \$3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?

• algebra -

If there are s students, a adults, and g geezers, then

s+a+g = 400
8s+10a+7g = 3535
a = s+g-10

Now just solve for the numbers

• algebra -

57

• algebra -

Reese read twice as many pages Saturday night than she read Sunday night. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday night?

• algebra -

36

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