Question

It costs 3 adults and 4 children $94 to visit the zoo. It costs 4 adults and 4 children $112 to visit the same zoo. Write a system of equations to find the cost of a ticket for an adult and the cost of a ticket for a child.

Answer 1

Answer:

Adult ticket = $18

Children ticket = $10

Step-by-step explanation:

Let x represent the cost of adult tickets

Let y represent the cost of children tickets

3x + 4y = 94.......equation 1

4x + 4y = 112........equation 2

Multiply equation 1 by 4 and equation 2 by 3

12x + 16y = 376

-

12x + 12y = 336

4y = 40

y = 10

Substitute 10 for y in equation 1

3x + 4(10) = 94

3x + 40= 94

3x = 94- 40

3x = 54

x = 54/3

x= 18

Hence the price of adult ticket is $18 and the price of children ticket is $10