Final answer:
To solve the problem, we set up a system of equations where x is the number of regular Tee Shirts and y is the number of Striped shirts. Solving the system reveals that 38 regular Tee Shirts and 24 Striped shirts were sold.
Step-by-step explanation:
To model the situation described in the question, we can use a system of linear equations with two variables x and y, where x is the number of regular Tee Shirts sold at $15 each and y is the number of Striped shirts sold at $22 each. We are given that a total of 62 shirts are sold and the total value of the shirts is $1098.
The first equation would represent the total number of shirts sold:
x + y = 62
The second equation would represent the total value of the shirts:
15x + 22y = 1098
To find the specific number of each kind of shirt sold, we can solve the system of equations using methods such as substitution or elimination. For example, solve the first equation for x, that is, x = 62 - y, and then substitute this expression for x in the second equation to solve for y.
Let's substitute x = 62 - y into the second equation:
15(62 - y) + 22y = 1098
Which simplifies to:
930 - 15y + 22y = 1098
Combining like terms we get:
7y = 168
Dividing both sides by 7 gives us:
y = 24
Substitute y = 24 back into the first equation to find x:
x = 62 - 24
x = 38
So 38 regular Tee Shirts and 24 Striped shirts were sold.