For college orientation week,Mike sold 200 shirts.sweat shirts were priced at $50.00 each ant t-shirts at $20.00 each Mike receive a total of $6250.00 for the shirts. How many type of shirt dud Mike sell for college orientation week ?please help and show a equation to solve
Mike sold
X sweat shirts.
Y T-Shirts.
Eq1: X + Y = 200 Shirts.
Eq2: 50x + 20y = $6250.
Multiply Eq1 by -20 and add the 2 Eqs:
-20x - 20y = -4000
+50x + 20y = 6250
Sum: 30x = 2250
X = 75 Sweat shirts.
In Eq1, substitute 75 for X:
75 + Y = 200,
Y = 125 T-shirts.
Let's assume that Mike sold "x" number of sweatshirts and "y" number of t-shirts.
According to the given information:
The price of each sweatshirt is $50.00, so the total cost of sweatshirts sold would be 50x.
The price of each t-shirt is $20.00, so the total cost of t-shirts sold would be 20y.
The total amount of money received from selling shirts is $6,250.00.
Therefore, we can write the equation as:
50x + 20y = 6,250.
To find out how many types of shirts Mike sold, we can solve this equation.
However, since we don't have any additional information, we cannot determine the exact number of sweatshirts and t-shirts sold. We can only solve for one variable in terms of the other.
Let's solve this equation for x (the number of sweatshirts) in terms of y (the number of t-shirts):
50x + 20y = 6,250
Subtract 20y from both sides:
50x = 6,250 - 20y
Divide both sides by 50:
x = (6,250 - 20y)/50
Hence, the equation that shows the relationship between the number of sweatshirts and t-shirts sold is x = (6,250 - 20y)/50.
To find out how many types of shirts Mike sold, we can set up an equation based on the information given.
Let's assume that Mike sold x number of sweatshirts.
Since he sold 200 shirts in total, the number of t-shirts sold would be 200 - x.
The price of each sweatshirt is $50, so the total revenue from selling sweatshirts would be 50x dollars.
Similarly, the price of each t-shirt is $20, so the total revenue from selling t-shirts would be 20(200 - x) dollars.
Now, we know that the total revenue Mike received from selling all shirts is $6250.
Therefore, we can set up the equation:
50x + 20(200 - x) = 6250.
To solve this equation and find the value of x, let's simplify it:
50x + 4000 - 20x = 6250,
30x + 4000 = 6250,
30x = 6250 - 4000,
30x = 2250,
x = 2250 / 30,
x = 75.
So, Mike sold 75 sweatshirts for college orientation week.
To find the number of t-shirts sold, we can substitute the value of x back into the equation:
200 - x = 200 - 75 = 125.
Therefore, Mike sold 75 sweatshirts and 125 t-shirts for college orientation week.