Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?

Answers

Answer 1
Answer: Given:
b = 82
\
Asked:
a = number of adult tickets sold = ?

Solution:
10.50(a) + 3.47(82) = 2071.50

solving for a:

a= [2071.5-3.47(82)]/10.50

a=168

FINAL ANSWER: There were 168 adult tickets sold.
Answer 2
Answer:

Answer:

The correct answer would be , a = 168 tickets were sold

Step-by-step explanation:

Cost of adults ticket   = $10.5

Cost of Students Ticket = %3.75  

Sales Totals for opening night = $2071.5

Equation would be  

10.5a + 3.75b = 2071.5

If 82 students attended the the play at that night, it means the value of b would be 82. Thus substituting the value in the above equation, we can find the value of a, which means how many adult tickets were sold.  

10.5a + 3.75(82) = 2071.5

10.5a + 307.5 = 2071.5

10.5a = 2071.5-307.5

10.5a = 1764

a= 168 tickets were sold.


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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers


This is a little bit weird, but it's not hard if you just
do it one step at a time.

Here's the important part that you need to know
in order to solve this problem:
 
            All four sides of a square are equal.

Got that ?   Good. 
Here we go.

-- First, take the left and right sides.
   They must be equal, so

                                         2y - 5  =  y - 1

Add  5  to each side:             2y   =  y + 4

Subtract 'y' from each side:      y  =  4 .  

The left side is          y-1  = 3

The right side is      2y-5  =  2(4) - 5
                                        =   8 - 5
                                        =    3 . 

Good !  We have the left and right sides equal.
Do we really need to do the other two sides ?
They told us it's a square, so can't we just say
         the top and bottom are also 3 ?
Well, maybe.  But maybe they're trying to trick us,
         and the top and bottom aren't really 3 .  I think
         we ought to check it out.  It's more good math practice.

-- Take the bottom side ... it's  3y-9 .

But you know what 'y' is !
We just calculated that  y=4,
so
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Great !  The bottom side is  3 .