Question

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 311 people entered the park, and the admission fees collected totaled 954.00 dollars. How many children and how many adults were admitted? Your answer is number of children equals number of adults equals

Answer 1

116 children and 195 adults

let the number for children be
`c`

let the price for adults be
`a`

use system of equations to solve

`1.50c + 4a = 954\\c + a = 311\\\\1.50c + 4a = 954\\4c + 4a = 1244\\\\-2.50c = -290\\c = 116\\`

plug c back into any equation to get a

`116 + a = 311 \\a = 195`

thus,

`c = 116\\a = 195`