Madison Middle School has a Math and Science Club that holds meetings after school. The club has
decided to enter a two-day competition that involves different math and science challenges. The first
day of competition involves solving multi-step math problems. Teams will receive two points for every
problem they get correct in the morning session and three points for every question they get correct in
the afternoon session.
a. Write an equation to represent the situation. Remember to define your variable(s).
b. The team scores four points in the morning session, but finishes the day with 28 points. Solve the
equation and interpret the solution in the context of the problem.
c. The second day of the competition was the science portion, involving hands-on science problems.
Each correct science problem is worth 5 points. If the team started the day with 28 points and ended
with 53 points, how many science problems did they get correct? Write and solve an equation to
answer the question.