Question

The Robinson family and the Moore family are going on a day trip to visit the Square Caverns on Monday. The Robinson family has 2 parents and 4 children and paid $75 for admission. The Moore family has 2 parents and 3 children and paid $60. If x represents the admission price of each parent and y represents the admission price of each child, which is a system of equations that could be used to determine the admission price of an adult ?

Answer 1

admission price of each parent = $7.5

admission price of each child = $15

Explanation:

x = admission price of each parent

y = admission price of each child

Robinson family:

2x + 4y = 75

Moore family:

2x + 3y = 60

2x + 4y = 75 (1)

2x + 3y = 60 (2)

Subtract (2) from (1)

4y - 3y = 75 - 60

y = 15

Substitute y = 15 into (1)

2x + 4y = 75

2x + 4(15) = 75

2x + 60 = 75

2x = 75 - 60

2x = 15

x = 15/2

x = 7.5