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

1 Answer
Dec 2, 2017

#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.