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Two Families went to Rollercoaster World. The Brown Family paid $170 for 3 children and 2 adults. The Peckham Family paid $360 for 4 children and 6 adults.

If x is the price of children tickets in dollars and y is the price of an adult tickets in dollars. Write a system of equations that models this situation

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Answer:

The system of equations are;

3x + 2y = 170

4x +6y = 360

Step-by-step explanation:

Form simultaneous equations and solve

Let x=price of children tickets

Let y=price of adult tickets

The Brown Family paid $170 for 3 children and 2 adults , this forms the equation as:

3x + 2y =$ 170

3x + 2y = 170 --------------------------equation (i)

The Peckham Family paid $360 for 4 children and 6 adults.

4x + 6y = $360

4x +6y = 360 ---------------------------equation (ii)

Solving the equations by graph will give value of x=30 and y=40

The price of children tickets was $30 and that of adults was $40

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