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Fofino [41]
3 years ago
12

If there are 150 students less than three times the number of teaches and together purchased 1778 tickets. How many students bou

ght tickets and how many teacher?
Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

Students purchased 1296 tickets and teachers purchased 482 tickets.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of tickets purchased by students and y be the number of tickets purchased by teachers.

Total tickets purchased = 1778

Thus, we can write the equation:

x+y = 1778

There are 150 students less than three times the number of teacher's tickets.

Thus, we can write the equation:

x = 3y - 150

Solving the two equations, we get,

3y-150 + y = 1778\\4y = 1928\\y = 482\\x = 3(482)-150=1296

Thus, students purchased 1296 tickets and teachers purchased 482 tickets.

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The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have equation:

4(x + 5) = 9x + 4x − 34  (Given)

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4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x   (Subtraction Property of Equality)

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2 years ago
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