Question

Last year my family decided to put on a play It was A Great success . 200 people attended and we earned a total of 800 . If adults tickets cost 4 and children coat 2 dollar , how many adults were there

Answer 1

200 adults

Explanation:

We can set-up a system of equations to find the number of adults. We know children and adults attended. We will let c be the number of children and a be the number of adults. Since 200 people attended, then c+a=200.

We also know they made $800 and adult tickets cost $4 and child tickets cost $2. We can write 2c+4a=800.

We will solve by substituting one equation into the other. We start by solving the first equation for c. c+a=200 becomes c=200-a.

Now we substitute c=200-a into 2c+4a=800. Simplify and isolate the variable a.

• 2(200-a)+4a=800
• 400-2a+4a=800
• 400+2a=800
• 400-400+2a=800-400
• 2a=400
• a=200

This means that 200 adults attended and 0 children attended.