1000 tickets were sold. Adult tickets cost $8.50, children's tickets cost $4.50, and a total of $7300 was collected. How many tickets of each kind were sold?

spasiocuo43

spasiocuo43

Answered question

2022-11-14

1000 tickets were sold. Adult tickets cost $8.50, children's tickets cost $4.50, and a total of $7300 was collected. How many tickets of each kind were sold?

Answer & Explanation

naudiliwnw

naudiliwnw

Beginner2022-11-15Added 12 answers

a = Adult
c = Children

Then-

a+c=1000 ---------------------------(1)
8.50a+4.50c=7300-----------(2)

Solve the equation (1) for c
c=1000−a
Substitute the value of c in equation (2)
8.50 a + 4.50 ( 1000 - a ) = 7300
8.50 a + 4500 - 4.50 a ) = 7300
4 a = 7300 - 4500 = 2800
a = 2800 4 = 700

Substitute the value of a in equation (1)

700+c=1000
c=1000−700=300

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