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Gelneren [198K]
3 years ago
10

Tickets to a football game cost 5$ for students and 7$ for adults. write and solve a system of equations to determine the number

to student tickets sold and the number of adult tickets sold at the most recent home football game if a total of 680 people purchased tickets and the ticket booth sold 3,914 worth of tickets. Does anyone know the equation? Tysm in advance tho if you help!
Mathematics
1 answer:
stepan [7]3 years ago
8 0

Answer:

x + y = 680

5x + 7y = 3914

Step-by-step explanation:

Let the amount of students who purchased tickets equal x.

Let the amount of adults who purchased tickets equal y.

If you add the amount of adults and students, you get the total amount of people:

x + y = 680

Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:

5x + 7y = 3914

These are the two equations:

x + y = 680

5x + 7y = 3914

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Step-by-step explanation:

Formula for compound interest is given by

A = P(1 + R) ^{n}

Where

A is the amount at the end of the period

P is the principal

R is the rate

n is the period

The interest = A - P

From the question

P = $ 3200

n = 3 years

R = 40%

So we have

A = 3200 \times 2.744

A = $ 8780.80

<h3>The amount is $ 8780.80</h3>

The interest is

$ 8780.80 - $3200

<h3>= $ 5580.80</h3>

Hope this helps you

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Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester 25% of the
Irina18 [472]

Answer:

There are <u>1240</u> students who attended Washington Middle School.

Step-by-step explanation:

Given:

Students who attend Washington Middle School are either in seventh or eighth grade.

At the end of the first semester 25% of the students at Washington Middle School were on the honor roll.

Seventh graders represented 60% of the students on the honor roll.

If 124 students on the honor roll were in eighth grade.

Now, to find the students attend Washington Middle School.

Let the total number of students be x.

So, the students at Washington Middle School were on the honor roll:

<u><em>25% of </em></u>x<u><em /></u>

=\frac{25}{100} \times x

=\frac{25x}{100}

=\frac{x}{4}

As, given seventh graders represented 60% of the students.

So, the students on the honor roll represented as seventh graders:

60\%\ of\ \frac{x}{4}

=\frac{60}{100} \times \frac{x}{4}

=0.6\times \frac{x}{4}

=\frac{0.6x}{4}

As, 124 students on the honor roll were in eighth graders.

Thus,

According to question:

\frac{x}{4} -\frac{0.6x}{4} =124

\frac{x-0.6x}{4} =124

\frac{0.4x}{4} =124

<em>Multiplying both sides by 4 we get:</em>

0.4x=496

<em>Dividing both sides by 0.4 we get:</em>

x=1240.

Therefore, there are 1240 students who attended Washington Middle School.

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For y (-4 + 4) / 2 or 0 / 2  or  0.
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