The student council sells short sleeves for $5 each and long sleeve for $6 each. the sell 20 t shirts for a total of $105. how many of each type did they sell?

the number of short sleeves shirt sold is 15

the number of long sleeves shirt sold is 5

Step-by-step explanation:

Let x represent the number of short sleeves shirt sold by the student council.

Let y represent the number of long sleeves shirt sold by the student council.

The student council sells short sleeves for $5 each and long sleeve for $6 each. They were sold for a total of $105. This means that

5x + 6y = 105 - - - - - - - - - -1

The total number of shirts sold is 20. This means that

x + y = 20

Substituting x = 20 - y into equation 1, it becomes

5(20 - y) + 6y = 105

100 - 5y + 6y = 105

- 5y + 6y = 105 - 100

y = 5

x = 20 - y = 20 - 5

x = 15

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x