Answer:
Explanation:
To find the number of designer shirts Emely bought, we can set up an equation using the information provided.
Let's assume the number of designer shirts is "x" and the number of plain shirts is "y".
According to the given information, each designer shirt costs $40, and each plain shirt costs $12.
We know that Emely bought a total of 15 shirts. Therefore, we can write the equation:
x + y = 15 (Equation 1)
We also know that Emely spent a total of $320 on shirts. So, the cost of designer shirts (x) plus the cost of plain shirts (y) should equal $320. We can write the equation:
40x + 12y = 320 (Equation 2)
Now, we have a system of two equations (Equation 1 and Equation 2) that we can solve simultaneously to find the values of x and y.
Solving the system of equations, we find that x = 8 and y = 7.
Therefore, Emely bought 8 designer shirts.
In conclusion, Emely bought 8 designer shirts out of the total 15 shirts she purchased.