The admission fee at an amusement park is $3.50 for children and $6.20 for adults.

Question

The admission fee at an amusement park is $3.50 for children and $6.20 for adults. On a certain day, 336 people entered the park, and the admission fees collected totaled $1662. How many children and how many adults were admitted?

Answer 1

Let C = Number of Children that entered the park

Let A = Number of Adults that entered the park

Set up the equations:

A + C = 336 Eq.1

3.5C + 6.2A = $1662 Eq.2

Reduce the two equations to one variable (in this case, A):

C = 336 - A Rearrange Eq.1

3.5 * (336 - A) + 6.2A = 1662 Substitute Eq.1 into Eq.2

Solve the above equation for A:

1176 - 3.5A + 6.2A = 1662

2.7A = 1662 - 1176 = 486

A = 180

Solve Eq.1 for C:

C = 336 - 180

C = 156

Verify the solution:

A = 180 : C = 156 (ANS)

A + C = 180 + 156 = 336 (OKAY)

3.5 * 156 + 6.2 * 180 = $1,662 (OKAY)

Hoping this helps you,

Gary