PLEASE HELP ME!

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

Let number of adult tickets sold be $a$

Let number of children tickets sold be $c$

<u>139 tickets were sold:</u>

we can write:

$a+c=139$

<u>a total sales of $972.00:</u>

we can write:

$5.4c+9.5a=972$

Now solving for $c$ in the first equation and substituting that into 2nd equation, we can solve for $a$ , what we need. So:

$c=139-a\\-------\\5.4c+9.5a=972\\5.4(139-a)+9.5a=972\\750.6-5.4a+9.5a=972\\-5.4a+9.5a=972-750.6\\4.1a=221.4\\a=54$

Hence 54 adult tickets were sold.

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