600 hundred people attended the premiere of a motion picture. adult tickets cost %5, and children were admitted for $2. if box office receipts totaled $2400, how many children attended the premiere?

200

Step-by-step explanation:

Let the number of children be c

and the number of adults be a

Since 600 people in total attended, we can write the 1st equation as:

c + a = 600

Each adult tickets cost $5 and children ticket costs $2 and total sum of tickets is 2400, thus we can write 2nd equation as:

5a + 2c = 2400

Solving the first equation for adults, we have:

c + a = 600

a = 600 - c

We can put this into 2nd equation and solve for children (c). Shown below:

Thus, we can say 200 children attended the premiere

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