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

Question

3 years ago

9

ere sold?

1 answer:

lyudmila [28] · Answer 1 · 2022-04-08T11:31:29+03:00

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

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