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IrinaK [193]
3 years ago
11

The drama club at Del Rosa Middle School is having a production.

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

320 Student Tickets

180 Adult Tickets

Step-by-step explanation:

You can solve this problem by using system of equations. First, we need to figure out our equations.

Equation 1: x as students and y as adults

x+y=500

We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.

Equation 2:

3x+5y=1850

We get this equation based on the prices. Each student ticket costs $3, and each adult ticket costs $5. The total amount earned was $1850.

Now that we have out equations, we can use system of equations to find our students and adults.

x+y=500

3x+5y=1860

Typically elimination is the easiest strategy because you are able to cross out variables.

3(x+y=500)

3x+5y=1860

Becomes:

3x+3y=1500

3x+5y=1860

We see that both equations now have 3x. We can cancel out 3x.

-2y=-360

y=180

Now that we know y=180, we can plug it back into one of our equations to find x.

x+180=500

x=320

320 student tickets and 180 adult tickets were sold.

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