Question

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3each and the adult tickets cost $4 each. Rhe total made was $1740. How much does a student ticket and adult ticket each cost.

Answer 1

Students = 380
Adults = 150

You can get this by using x = students and y = adults. Then set up a cost equation of:

3x + 4y = 1740

and a total tickets equation of 

x + y = 530

Solve using any method. 

Answer 2

Answer:  The required number of student tickets is 380 and adult tickets is 150.

Step-by-step explanation:  Given that the  talent show committee sold a total of 530 tickets in advance.

Student tickets cost $3 each and the adult tickets cost $4 each and the total made was $1740.

We are to find the number of student tickets and adult tickets that sold.

Let x and y represents the number of student tickets and adults tickets respectively that sold.

Then, according to the given information, we have

$x+y=530\\\\\Rightarrow x=530-y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$3x+4y=1740\\\\\Rightarrow 3(530-y)+4y=1740~~~~~~~~~~~~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\Rightarrow 1590-3y+4y=1740\\\\\Rightarrow y=1740-1590\\\\\Rightarrow y=150.$

From equation (i), we get

$x=530-y=530-150=380.$

Thus, the required number of student tickets is 380 and adult tickets is 150.