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storchak [24]
3 years ago
9

Ticket Receipts Solve by setting up a system of linear equations with 2 variables and 2 unknowns. An overwhelmed concert manager

realized the next day after a concert that 350 ticket receipts were counted. The price for a student ticket was $12.50 and the price for an adult ticket was $16.00. The register confirmed $5,075 was taken in, too. What the manager did not keep track of was the number of student tickets and the number of adult tickets that were sold. How many of each were sold? There were 175 student tickets and 175 adult tickets sold. There were 155 student tickets and 195 adult tickets sold. There were 125 student tickets and 225 adult tickets sold. There were 150 student tickets and 200 adult tickets sold.
Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

  There were 150 student tickets and 200 adult tickets sold

Step-by-step explanation:

Let s and a represent the numbers of student and adult tickets sold, respectively. Then the two equations are ...

  s + a = 350 . . . . . . total number of tickets sold

  12.50s + 16.00a = 5075 . . . . . .total value of tickets sold

___

<u>Solution</u>

The first equation lets us write an expression for s:

  s = 350 - a

We can substitute this into the second equation:

  12.50(350 -a) +16.00a = 5075

  3.50a + 4375 = 5075 . . . . . . . . . simplify

  3.50a = 700 . . . . . . . . . . . . . . . . . subtract 4375

  a = 200  . . . . . . . . . . . . . . . . . . . . . divide by 3.50

There were 200 adult tickets and 150 student tickets sold.

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Rebecca has 45 coins, all nickels and dimes. The total value of the coins is $3.60. How many
kvv77 [185]

Answer:

Rebecca has 18 nickels and 27 dimes

Step-by-step explanation:

Let x be the number of nickels Rebecca has, then 45-x is the number of dimes she has.

The total value of Rebecca's coins is $3.60.

1 nickel - 5 cents

x nickels - 5x cents

1 dime - 10 cents

45-x dimes - 10(45-x) cents

Total x nickels and 45-x dimes is 5x+10(45-x) cents that is $3.60=360 cents. So,

5x+10(45-x)=360

5x+450-10x=360

5x-10x=360-450

-5x=-90

5x=90

x=18

45-x=45-18=27

4 0
4 years ago
PLEASE HELP MEEE!! I will give brainliest!
Juli2301 [7.4K]

Answer:

a

Step-by-step explanation:

3 times 0 is still zero so its not grater

6 0
3 years ago
Which of the following is most likely to be a relative maximum for this graph?
Bad White [126]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Tim drives a average speed og 80km per hhour for 3 hours 45 minutes work out how many kilometers tim drives
andrew-mc [135]

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Average speed= 80 km

Time= 3 hours 45 minutes (15/4 hours)

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Please see the link below for more information
brainly.com/question/8153424?referrer=searchResults

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7 0
2 years ago
Solve the equation:<br><br> 3 - 2/9b = 1/3b - 7
aleksandrvk [35]
3 - \frac{3}{9} b = \frac{1}{3} b - 7

First, simplify \frac{2}{9} b to \frac{2b}{9} / Your problem should look like: 3 - \frac{2b}{9} = \frac{1}{3} b - 7
Second, simplify \frac{1}{3} b to \frac{b}{3} / Your problem should look like: 3 - \frac{2b}{9} = \frac{b}{3} - 7
Third, multiply both sides by 9 (the LCD of 9,3). / Your problem should look like: 27 - 2b = 3b - 63
Fourth, add 2b to both sides. / Your problem should look like: 27 = 3b - 63 + 2b
Fifth, simplify 3b - 63 + 2b to 5b - 63. / Your problem should look like: 27 = 5b - 63
Sixth, add 63 to both sides. / Your problem should look like: 27 + 63 = 5b
Seventh, simplify 27 + 63 to 90. / Your problem should look like: 90 = 5b
Eighth, divide both sides by 5. / Your problem should look like: \frac{90}{5} = b
Ninth, simplify \frac{90}{5} to 18. / Your problem should look like: 18 = b
Tenth, switch sides. Your problem should look like: b = 18

Answer: b = 18

3 0
3 years ago
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