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Chapter 3: Q. 3.58 (page 345)

At the movie theater, the total value of tickets sold was \(2,612.50. Adult tickets sold for \)10 each and senior/child tickets sold for $7.50 each. The number of senior/child tickets sold was 25 less than twice the number of adult tickets sold. How many senior/child tickets and how many adult tickets were sold?

Short Answer

Expert verified

199senior/child tickets and112adult tickets were sold.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Price of adult ticket is $10and price of senior/child is $7.50.

We know the number of senior/child tickets sold was localid="1647174920957" 25less than twice the number of adult tickets sold. Total value of tickets sold was localid="1647174925571" $2612.50.

Assume the number of senior/child tickets and number of adult tickets to be x and y. Then,

localid="1647174923333" x=2y-25

Make the table,

02

Step 2. Form the equation.

Consider the table, we can see,

7.52y-25+10y=2612.515y-187.5+10y=2612.525y=2800y=112

Then,

x=2(112)-25x=224-25x=199

Therefore, 199senior/child tickets and 112adult tickets were sold.

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