Respuesta :
s - the number of the t-shirts;
h - the number of hats:
The system of equations:
s + h = 23
10 s + 12 h = 246
--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
h = 16 : 2
h = 8
s = 23 - 8
s = 15
Answer: The basketball team sold 15 t-shirts and 8 hats.
h - the number of hats:
The system of equations:
s + h = 23
10 s + 12 h = 246
--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
h = 16 : 2
h = 8
s = 23 - 8
s = 15
Answer: The basketball team sold 15 t-shirts and 8 hats.
Cost price is the price at which the goods or items are sold. The total number of t shirts sold is 15 and the total number of hats sold is 8 units.
Given information-
The basketball team sell the number of total items is 23.
Total profit made by the team is $246.
The amount of profit by selling every t-shirt is $10.
The amount of profit by selling every hat is $12.
The cost cost price of hats and t shirt is given.
Cost price-
Cost price is the price at which the goods or items are sold.
Let the number of t-shirts sold is x and the number of hats sold is y.
As the total number of items sold is 23. Thus,
[tex]\begin{aligned}\\ x+y&=23\\ x&=23-y\\ \end[/tex]
Suppose the above equation as equation number 1.
Total profit made by the team is $246. As the amount of profit by selling every t-shirt is $10 and the amount of profit by selling every hat is $12. Thus,
[tex]10x+12y=246[/tex]
Put the value of x in from equation 1 in the above equation,
[tex]\begin{aligned}10(23-y)+12y&=246\\ 230-10y+12y&=246\\ 2y&=246-230\\ y&=\dfrac{16}{2} \\ y&=8\\ \end[/tex]
Thus the number of total hats sold is 8.
Put the value of y in equation 1,
[tex]\begin{aligned}\\ x&=23-8\\ x&=15\\ \end[/tex]
Thus, the number of t-shirts sold is 15.
Hence the total number of t shirts sold is 15 and the total number of hats sold is 8 units.
Learn more about the cost price here;
https://brainly.com/question/962043
