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The drama club was selling tickets to the school play. Adult tickets cost $8.00 each, and student tickets cost $5.00 each. The little theater holds 142 people and was sold out for both Friday and Saturday. The total sales for the two days was $1,948.00 .

a. Write a system of linear equations to represent the situation, on paper or in the box below.

Question 2
b. Determine the solution to the system. Show your work on paper or in the large box below, then enter the solutions numerically.
Question 3
There were
adult tickets sold over the two days.

There were
student tickets sold over the two days.

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User Chinmay
by
4.6k points

1 Answer

7 votes

Answer:

Explanation:

adult =x

kid = y

equation 1 -> 8x+5y=1948

equation 3 -> x+y=284

system of equations

5(x+y)+3x=1948

5(284)+3x=1948

1420+3x=1948

3x=528

x=176

176 adults

x+y=284

176+y=284

y=108

108 kids

User Palesz
by
5.2k points