Question

Please u can write a system of equation to the situation?

the school that Stefan goes to is selling to a play. the first day they sell 3 senior tickets and 1 child ticket for a total of $38 . The second day they sell 3 senior tickets and 2 child tickets for a total of $52

Answer 1

`3s+c=38`

`3s+2c=52`

Explanation:

First let’s define some variables:

• `s\rightarrow` a senior ticket
• `c\rightarrow` a child ticket

Now we can represent the first situation.

`color(red)(3)` senior tickets and `color(blue)(1)` child ticket costing `color(green)($38)` in all can be represented by:

`color(red)(3s)+color(blue)(1c)=color(green)(38)`

So that’s the first equation in the system.

To find the second, we do the same thing:

`color(red)(3)` senior tickets and `color(blue)(2)` child tickets costing `color(green)($52)` in all can be represented by:

`color(red)(3s)+color(blue)(2c)=color(green)(52)`

And that’s the second equation.