Question

James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 worth of tickets.

How many tickets for adults did James sell?

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Answer 1

300 tickets for adults

Explanation:

children tickets = c

adult tickets = a

c + a = 450

$2c + $5a = $1,800

c + a - a = 450 - a

c = 450 - a

2 (450 - a) + 5a = 1,800

900 - 2a + 5a = 1,800

900 + 3a = 1,800

900 - 900 + 3a = 1,800 - 900

3a = 900

3a / 3 = 900 / 3

a = 300 tickets for adults

c + 300 = 450

450 - 300 = 150

c = 150 tickets for children

Answer 2

James sold 300 tickets for adults

Explanation:

1. Let's review the information given to us to answer the question correctly:

Number of tickets sold by James = 450

Cost of a child ticket = $ 2

Cost of an adult ticket =$ 5

Amount of money collected by James after selling the 450 tickets for the community play = $ 1,800

2. How many tickets for adults did James sell?

x = Number of adult tickets James sold

450 - x = Number of children tickets James sold

For solving for x, we write this equation:

5x + 2 * (450 - x) = 1,800

5x + 900 - 2x = 1,800

3x = 1,800 - 900

3x = 900

x = 900/3 = 300

450 - x = 450 - 300 = 150

James sold 300 tickets for adults and 150 for children