Mathematics: Mr. ryan bought 7 tickets to an ice show and spent a total of $43. adult tickets cost $9 and children tickets cost $4. how many tickets of each type did mr. ryan purchase?

Mr. ryan bought 7 tickets to an ice show and spent

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08.01.2022

3 adult and 4 child tickets

Step-by-step explanation:

Let a = number of adult tickets

Let c = number of child tickets

We know two things:

a+c=7

9a+4c=43

First, solve the first equation for c :

$a+c=7\\c=7-a$

Then, substitute the result into the second equation for c :

$9a+4(7-a)=43\\9a+28-4a=43\\5a+28=43\\5a=15\\a=3$

Therefore, Mr. Ryan bought 3 adult tickets and 7 – 3 = 4 child tickets.

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