Question

The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 335 people entered the park, and the admission fees collected totaled 940 dollars. How many children and how many adults were admitted?

Answer 1

Let

number of children admitted = x

number of adult admitted = y

Total number admitted = 335

`\begin{gathered} x+y=335 \\ 1.5x+4y=940 \\ x=335-y \\ 1.5(335-y)+4y=940 \\ 502.5-1.5y+4y=940 \\ 502.5+2.5y=940 \\ 2.5y=940-502.5 \\ 2.5y=437.5 \\ y=(437.5)/(2.5) \\ y=175 \\ x+y=335 \\ x+175=335 \\ x=335-175 \\ x=160 \end{gathered}`

number of children = 160

number of adult = 175