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3 years ago

Determine the equations you would use to represent the situation.

Mathematics

1 answer:

ASHA 777 [7]3 years ago

3 0

Answer:

You sold 20 student tickets.

Step-by-step explanation:

Given that:

Total tickets sold = 27

Total amount collected = $170

Cost of student ticket = $5

Cost of adult ticket = $10

Let,

x be the number of students tickets sold

y be the number of adult tickets sold

x+y = 27 Eqn 1

5x+10y=170 Eqn 2

Multiplying Eqn 1 by 10

10(x+y=27)

10x+10y=270 Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(5x+10y)=270-170

10x+10y-5x-10y=100

5x=100

Dividing both sides by 5

$\frac{5x}{5}=\frac{100}{5}\\x=20$

Hence,

You sold 20 student tickets.

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