Question

The junior class at Summerfield High School sold a total of 375 tickets for their spring festival. The adult tickets sold for $7. 50 each and the student tickets sold for $4. 50 each. If the junior class collected $2,212. 50 in ticket sales, how many student tickets did the class sell?.

Answer 1

The number of student's ticket sold is 200.

Two equations can be gotten from the question:

a + b = 375 equation 1

7.5a + 4.5b = 2,212.50 equation 2

Where:

a = number of adult ticket sold

b = number of children's ticket sold

In order to determine the value of b, multiply equation 1 by 7.5

7.5a + 7.5b = 2812.50 equation 3

Subtract equation 2 from 3

3b = 600

Divide both sides by 3

b = 600 / 3

b = 200

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