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Alekssandra [29.7K]
3 years ago
9

1360 concert tickets were sold for a total of $13,328. If students paid $8 and non students paid $12, how many student tickets w

ere sold?
Mathematics
1 answer:
lyudmila [28]3 years ago
5 0

748 student tickets were sold.

Step-by-step explanation:

Given,

Number of tickets sold = 1360

Revenue generated = $13328

Cost of each student ticket = $8

Cost of each non student ticket = $12

Let,

x be the number of student tickets sold

y be the number of non student tickets sold

According to given statement;

x+y=1360        Eqn 1

8x+12y=13328    Eqn 2

Multiplying Eqn 1 by 12

12(x+y=1360)\\12x+12y=16320\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(12x+12y)-(8x+12y)=16320-13328\\12x+12y-8x-12y=2992\\4x=2992\\

Dividing both sides by 4

\frac{4x}{4}=\frac{2992}{4}\\x=748

748 student tickets were sold.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/774670
  • brainly.com/question/763150

#LearnwithBrainly

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