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?

Adults = 300

Step-by-step explanation:

Let, the number of tickets sold for children = x and the number of tickets sold for adults = y.

Its is given that James sold 450 tickets.

So, we get the relation x + y = 450

Moreover, the cost for children's tickets is $2 and adult tickets is $5.

Since, James sold $1800 worth of tickets.

We get, 2x + 5y = 1800

So, we get the system of equations as:

2x + 5y = 1800

x + y = 450

Now, we will solve the equations.

As, x + y = 450 ⇒ x = 450 -y.

So, 2x + 5y = 1800 ⇒ 2(450-y) + 5y = 1800 ⇒ 900 -2y + 5y = 1800 ⇒ 3y = 900 ⇒ y = 300

So, x = 450 - 300 ⇒ x = 150

Hence, the number of tickets sold for adults are 300 and for children are 150.

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