Solve the problem using the elimination method.
-There were 470 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $720. How many adults and how many children attended?
A)110 adults and 360 children
B)220 adults and 250 children
C)250 adults and 220 children
D)180 adults and 290 children

Question

Quizplus · Accepted Answer

Let's use the elimination method:
- Let's use "a" for the number of adults and "c" for the number of children.
- From the first sentence, we know that a + c = 470
- From the second sentence, we know that 2a + 1c = 720
- Let's multiply the first equation by 2 to get 2a + 2c = 940
- Let's subtract the second equation (2a + 1c = 720) from the third equation (2a + 2c = 940) to get c = 220
- We can substitute c = 220 into the first equation (a + c = 470) to get a = 250
Therefore, there were 250 adults and 220 children who attended the play.

Solve the Problem Using the Elimination Method