math problem child and adult

Question

The admission fee at an amusement park is $1.75 for children and $5.80 for adults. On a certain day, 371 people entered the park, and the admission fees collected totaled 1358 dollars. How many children and how many adults were admitted?



Answer 1

C+A = 371

1.75C + 5.8A = 1358

1.75C +1.75A= 1.75(371)

subtract to eliminate one variable

4.05A = 1358-1.75(371)

A = (1358-1.75(371))/4.05

A= 175 adults

C=371-A= 371-175 = 196 children

1.75(196)+ 5.80(175) = 343 + 1015= 1358