Skyler buys 8 t-shirts and 5 hats for $220. the next day, he buys 5 t-shirts and 1 hat for $112. use the system of equations from part a to find the cost of each t-shirt and each hat.

 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