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

lo.lll

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3