Solve the problem.
-There were 630 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $960. How many adults and how many children attended?
A)300 adults and 330 children
B)330 adults and 300 children
C)150 adults and 480 children
D)240 adults and 390 children

Question

Quizplus · Accepted Answer

Let's assume x to be the number of adults and y to be the number of children. We can form two equations from the given information:
x + y = 630  ---(1)
2x + y = 960  ---(2)

We can solve this system of equations through elimination or substitution method.

Using the elimination method, we can subtract equation (1) from equation (2) to get:
x = 330

Substituting x=330 in equation (1), we can get:
330 + y = 630
y = 300

Therefore, the number of adults and children attended the play are 330 and 300 respectively, which is option B.

Solve the Problem. -There Were 630 People at a Play. the Admission Price