Word problem in the description

Question

The admission fee at an amusement park is $ 1.50 for children and $ 4.00 for adults. On a certain day, 248 people entered the park, and the admission fees collected totaled $672 . How many children and how many adults were admitted?

Answer 1

Hi Kali, set up a system of equations to solve this problem. Let c represent the children, and a represent the adults.

 

Equation 1, number of people entering the park:

 

c + a = 248

 

Equation 2, fees collected:

 

1.5c + 4.00a = 672

 

System of equations:

 

     c   +        a = 248

1.5c   +  4.00a = 672

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To solve, multiply equation 1 by -4. This will eliminate the a terms:

 

  -4c   -  4a  = - 992

1.5c   + 4a  =   672

----------------------

 

-2.5c = -320

 

c = 128

 

Substitute in equation 1:

 

128 + a = 248

 

a = 120

 

There were 128 children entering the park and 120 adults.

 

Question?