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Mathematics : asked on lexxa58
 16.09.2020

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?

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09.07.2023, solved by verified expert
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Bibin (Bibi) P B
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#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

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

#B

Solve this system of equations using the substitution method.

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

[Solve the second equation for x]

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

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

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

[Solve the equation for y]

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

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

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

[Solve the equation for x]

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

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

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

PLEASE HELP ME The costs for two families to, №18009712, 16.09.2020 15:49

#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...~
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Mathematics
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?
Step-by-step answer
P Answered by Master
#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

\rule{300pt}{1pt}

#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 - \frac{2}{3} y

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

2(5.5 - \frac{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 - \frac{2}{3} \times 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)

\rule{300pt}{1pt}

#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...~
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Step-by-step answer
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Mathematics, 26.03.2020 20:52, mohammadhosseinkarim David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?
Step-by-step answer
P Answered by PhD

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