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one night a theater sold 548 movie tickets and adult ticket cost 6.50 and a child's ticket cost 3.50 and all $2,881 was taken in how many of each kind of ticket were sold

Sagot :

Answer:

Adults tickets sold = 321

and children tickets sold = 227

Step-by-step explanation:

Let Adults tickets are represented by x

and children tickets are represented by y

If theater sold 548 movie tickets writing it in algebraic expression we get:

Adults ticket cost $6.50 and a child’s ticket cost $3.50. In all, $2881 was taken in. Writing it in algebraic expression we get:

We need to find value of x and y

Solving the system of equations and finding value if x and y.

and

Let:

Multiply eq(1) wit 3.50 and subtract both equations

So, value of x = 321

Now finding value of y by putting value of x in eq(1)

Value of y= 227

So, Adults tickets sold = 321

and children tickets sold = 227

Keywords: Word Problems

Step-by-step explanation:

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