Question

The admission fee at an amusement park is $1.25 for children and $7.00 for adults. On a certain day, 279 people entered the park, and the admission fees collected totaled $1010. How many children and how many adults were admitted? number of children equals number of adults equals

Answer 1

Explanation:

let the no. of children be x.

let the no. of adults be y.

x+y= 279 ---(1)

1.25x+7y= 1010 ---(2)

from (1):

x= 279-y ----(3)

sub (3) into (2):

1.25(279-y)+7y= 1010

348.75-1.25y+7y= 1010

5.75y= 661.25

y= 115 ---(4)

sub (4) into (3):

x= 279-115

= 164

therefore, the number of children is 164 and the number of adults is 115.