If there are 150 students less than three times the number of teaches and together purchased 1778 tickets. How many students bou
1 answer:
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:
There are 150 students less than three times the number of teacher's tickets.
Thus, we can write the equation:
Solving the two equations, we get,
Thus, students purchased 1296 tickets and teachers purchased 482 tickets.
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Answer:
Step-by-step explanation:
Answer: length of DE = 18
Step-by-step explanation:
Since the angles of these two triangles are the same, we can assume that they are <em>similar triangles</em>. To solve for a missing side of a triangle that is similar, you can set up a proportion:
To solve for x (the missing length), you would do:
27 × 10 ÷ 15 = 18
You can set up the proportion in any way between the two triangles as long as the two sides correspond to each other. For example, you could have also used the following proportion to solve for x:
When you solve for x using this proportion, you would get the same value for x:
10 × 27 ÷ 15 = 18