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k0ka [10]
3 years ago
10

The very busy Freshman class is selling tickets for an upcoming field hockey game. The class sells 20 more student tickets than

adult tickets. The adult tickets cost $4 and the student tickets cost $2. The class made a total of $280 from ticket sales. How many of each type of ticket did they sell? Elaborate and clarify your reasoning.
1a. Define the variables in this system
b. Create equations to describe the relationships in this system between the variables
Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

60 student tickets and 40 adult tickets were sold

Step-by-step explanation:

Let s represent student tickets and a adult tickets, then the system of equations can be written as

s - a = 20 →(1)

2s + 4a = 280 → (2)

Multiply (1) by 4 and add to (2) to eliminate a

4s - 4a = 80 → (3)

Add (2) and (3) term by term

6s = 360 ( divide both sides by 6 )

s = 60

Substitute s = 60 into (1)

60 - a = 20 ( subtract 60 from both sides )

- a = - 40 ( multiply both sides by - 1 )

a = 40

Thus

60 student and 40 adult tickets were sold.

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Mnenie [13.5K]

Answer:

Audrey can afford 4 hours of lesson.

Step-by-step explanation:

Given that:

Amount Audrey has to spend = $111

Cost of racket = $55

Cost per lesson = $14

Let,

y be the total cost

x be the number of hours

According to given statement;

y = 14x + 55

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111 - 55 = 14x

14x = 56

Dividing both sides by 14

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Hence,

Audrey can afford 4 hours of lesson.

7 0
3 years ago
If there was a total of 30 computers and the computer lab is removing 3 broken computers and adding 13 wireless devices, about w
Liula [17]

32.5 % of lab are wireless devices

<em><u>Solution:</u></em>

Given that there was a total of 30 computers and the computer lab is removing 3 broken computers and adding 13 wireless devices

Now we can first find out total number of computers and devices in lab

total number of computers and devices in lab = 30 computers - 3 + 13 wireless devices

total number of computers and devices in lab = 30 - 3 + 13 = 40

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<em><u>To find: what percent of the lab are wireless devices</u></em>

So we have to find what percent of 40 is 13

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a % of 40 = 13

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Answer:

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Step-by-step explanation:

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Answer:

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