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klio [65]
2 years ago
5

Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there

Mathematics
1 answer:
Alona [7]2 years ago
4 0

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

     y = price of child ticket

(1)    175x + 103y = 13796               (2)    2x + 2y = 184

                                                                 x + y = 92

                                                                       y = 92 - x

      175x + 103(92 - x) = 13796

      175x + 9476 - 103x = 13796

       72x = 4320

           x = 60                                                  y = 92 - 60

                                                                        y = 32

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By solving a linear equation, we will see that the total cost for renting the bus is $90.

<h3>What was the total cost of renting the bus, in dollars?</h3>

Let's say that the total cost is C.

When there are 20 students, each student should pay:

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When the other 10 students are added (for a total of 30) each student pays:

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We know that the cost for each of the original 20 students decreased by $1.50, so:

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Then we have 3 equations to work with:

p = C/20

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Now we can replace the first and second equations into the third one:

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Now we can solve this linear equation for C:

C/20 - C/30 = $1.50

C*( 1/20 - 1/30) = $1.50

C*(30/600 - 20/600) = $1.50

C*(10/600) = $1.50

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So the total cost for renting the bus is $90.

If you want to learn more about linear equations:

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4 0
2 years ago
Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below th
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3 years ago
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<, > - dotted line

≤, ≥ - solid line

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Determine whether each of the following LTIC systems is i) BIBO stable, ii) asymptotically stable, and iii) marginally stable. E
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5 0
2 years ago
7,24,25. 7 , 23,24 7, 25,26 <br> Which of the following will form a right triangle
Andru [333]
We know that
In <span>a right triangle
c</span>²=a²+b²
where
a and b are the legs of triangle 
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so

case 1)7,24,25
25²=7²+24²
25²-----> 625
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</span>
case 2) 7,23,24
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the answer is
7,24,25 form a right triangle



8 0
3 years ago
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