At the movie theatre, child admission is $5.20 and adult admission is $8.60. On Sunday, 132 tickets were sold for a total sales of $931.20. How many child tickets were sold that day?

Let x denote the number of child tickets sold and y the number of adult tickets sold. The problem involves solving the following system of linear equations; x+y=132 and 5.2x+8.6y=931.2. Using technology to solve this simultaneous equation yields; x= 60

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carlosego carlosego · Answer 2 · 2019-02-20T23:34:35+01:00

Answer:

60 tickets for children were sold

Step-by-step explanation:

Let x be the number of sold children's tickets and let y be the number of adult tickets sold, then we can pose the following equations.

[tex]x + y = 132[/tex] (i) Because 132 tickets were sold in total

[tex]5.20x + 8.60y = 931.20[/tex] (ii) because the total of $ obtained by sales was 931.20.

We must clear x. Then we substitute (i) in (ii)

[tex]5.20x +8.60(132-x) = 931.20[/tex]

[tex]5.20x + 1135.2 - 8.60x = 931.20[/tex]

[tex]-3.4x = -204[/tex]

[tex]x = 60[/tex]

60 tickets for children were sold