Question

Two families went to Rollercoaster World. The Garcia family paid $170 for 3 children and 2 adults. The McGruder family paid $360 for 4 children and 6 adults.

If x is the price of a child’s ticket in dollars and y is the price of an adult’s ticket in dollars, write a system of equations the models this situation.

Answer 1

3x +2y =170 ---equation 1

4x +6y =360 ---equation 2

Price of child 's ticket =$30

price of an adult’s ticket =$40

Explanation:

Let x represent the price of a child’s ticket in dollars

and y represent the price of an adult’s ticket in dollars

Such that

3 children and 2 adults for the cost of $170 be represented as

3x +2y =170 ---equation 1

4 children and 6 adults for the cost of $360 be represented as

4x +6y =360 ---equation 2

3x +2y =170 ---equation 1

4x +6y =360 ---equation 2

bY Elimination method Multiplying equation 1 by 4 and equation 2 by 3

12x+8y =680---equation 3

12x +18y =1080---equation 4

Subtracting equation 3 from 4

10 y=400

y =400/10

y=40

Puting the value of y=40 in equation 1 to foind x

3x +2y =170

3x+2 x 40= 170

3x+80 =170

3x=170-80

3x=90

x=90/3=30

Price of child 's ticket =$30

price of an adult’s ticket =$40