Question

PLEASE HELP ME!!!!!!!!

The costs for two families to attend Friday nights basketball game are given by
2x + 3y=13.50 and 3x + 2y= 16.50, where x is the cost of an adult ticket and y is the cost of a student ticket, in dollars.
A. What is the real- world meaning of the first equation?
B. Solve this system of equations using the substitution method.
C. What are the prices of adult and student tickets?

Answer 1

#A

What is the real- world meaning of the first equation?

The first equation is: 2x+3y=13.50

• The real world meaning of this is that the cost of two adult tickets plus cost of three student tickets is 13.5 dollars

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#B

Solve this system of equations using the substitution method.

`2x + 3y = 13.50 \\ 3x + 2y = 16.50`

• [Solve the second equation for x]

`2x + 3y = 13.50 \\ x = 5.5 - (2)/(3) y`

• [Substitute the given value of x into the first equation]

`2(5.5 - (2)/(3) y) + 3y = 13.50`

• [Solve the equation for y]

`y = 1.5`

• [Substitute the given value of y into the second equation]

`x = 5.5 - (2)/(3) * 1.5`

• [Solve the equation for x]

`x = 4.5`

• [The possible solution of the system is the ordered pair (x,y)]

`(x,y)=(4.5,1.5)`

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#C

What are the prices of adult and student tickets?

• X is representing the cost of 1 adult ticket, When we solved the equation we got the value of x as 4.5 that means the cost of an adult ticket is $4.5...~
• Y is representing the cost of 1 student ticket, When we solved the equation we got the value of y as 1.5 that means the cost of an student ticket is $1.5...~