Question

A total of 385 people attended the homecoming football game; everyone present was either a student of the school or a family member. There were 83 more students than family members present. How many students and family members were there?

Answer 1

234 students and 151 family members

Explanation:

Let x be the amount of students and y be the amount of family members...

x+y=385

x=y+83

We can solve using substitution...

y+83+y=385

Combine like terms

2y+83=385

Subtract 83 from both sides

2y=302

Divide both sides by 2

y=151

x=151+83

x=234

There were 234 students and 151 family members.