Answer: 12 hats and 20 T-shirts.
Step-by-step explanation:
Since Let T represents the number of T-shirt and H represents the number of hats,
Then according to the question,
Skyler buys 8 T-Shirts and 5 hats for $220
That is, 8T + 5H =220 ---------(1)
The next day, he buys 5 T-shirts and 1 hat for $112.
That is, 5T + H = 112 -------(2)
Where, the equation (1) and (2) together shows the given situation.
Now, 5 × equation (2),
We get, 25 T + 5 H = 560 ------(3)
equation (3) - equation (1)
17 T = 340,
⇒ T = 20
Again by equation (2),
h = 112-100=12
Thus, the total number of T-shirt = 20 and the total number of hats = 12
The price of one T-shirt is $20, and the price of 1 hat is $12.
Let us assume the cost of 1 T-shirt is $x and the cost of 1 hat is $y.
Skyler buys 8 T-Shirts and 5 hats for $220
Thus,
8x+5y=220 ---------(1)
The next day, he buys 5 T-shirts and 1 hat for $112.
Thus,
5x + y = 112 -------(2)
Now, solve the system of equations by substitution method.
[tex]5x+y=112\\y=112-5x[/tex]
Substitute the value of the y in equation (1) and solve for x.
[tex]\begin{aligned}8x+5(112-5x)&=220\\-17x+560&=220\\-17x&=-340\\x&=20 \end{aligned}[/tex]
Substitute the value of x in equation (2) and solve it further.
[tex]5 \times 20 +y =112\\y=112-100\\y=12[/tex]
Thus, the price of one T-shirt is $20, and the price of 1 hat is $12.
To know more about it, please refer to the link:
https://brainly.com/question/16187581
