The admission fee at an amusement park is $2.75 for children and 6.80 for adults. 357 people attended the park and the admission fee totaled to 1731. How many children and adults attended

Answer 1

This is a system of equations!

If we make "c" = the number of children and "a" = the number of adults, we get two equations:

c+a = 357

2.75*c + 6.80*a = 1731

If we solve using substitution, we get that a = 357-c, which we can plug into the second equation to get a single equation with a single formula:

2.75*c + 6.80*(357-c) = 1731 -> c = 172

Plugging this into the first equation:

a = 357 - 172 = 185.

185 adults and 172 children attended.