Each of 36 students at a school play bought either
cup of orange juice or a
sandwich. A cup of orange juice costs $1
and a sandwich costs $3. The total amount
collected was $76. How many students bought orange juice, and how many bought a
sandwich?
Let x represent
the number of students who bought a cup of orange juice and y
represent the number of students who bought a sandwich. Then the problem can be
represented by this system of equations:
X + 3y = 76
X + y = 36
Answer the questions to solve the problem.