Mathematics: The school sold 300 tickets for a school play and collected a total of $1150. student tickets cost $3.00 and adult tickets cost $5.00 how many students attended the play?

The school sold 300 tickets for a school play and

Ответ:

cheating53

10.07.2020

175 students

Explanation:

x = number of student tickets.
y = number of adult tickets

║x + y = 300
║3x + 5y = 1150

║3x + 3y = 900
║3x + 5y = 1150

[ 3x + 5y = 1150 ] - [ 3x + 3y = 900 ]

2y = 250
y = 125 <<<<<<<<<< We found y ¯\_(ツ)_/¯

Plug y = 125 into x + y = 300

x + 125 = 300
x = 300 - 125
x = 175 <<<<<<<<<< We found x ¯\_(ツ)_/¯

The Wise Orange loves to watch school play too. Can you send a ticket to The Wise Orange?

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Ответ:

Gabriella0000

08.06.2023

Mathematics

Option A. $\frac{1}{3}$

Step-by-step explanation:

Since in the given figure, ΔS'T'V' is dilated by the origin to form ΔSTV therefore, both the triangles will be similar.

By the property of similar triangles corresponding side of the triangles will be in the same ratio.

Scale factor = ratio of corresponding sides = $\frac{S'T'}{ST}=\frac{S'V'}{SV}=\frac{T'V'}{TV}$

Scale factor of dilation = $\frac{T'V'}{TV}=\frac{2}{6}=\frac{1}{3}$

Option A. $\frac{1}{3}$ is the answer.

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The school sold 300 tickets for a school play and collected a total of $1150. student tickets cost $3.00 and adult tickets cost $5.00 how many students attended the play?

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