Question

Skyler buys 8 T-shirts and 5 hats for $220.The next day,he buys 5T-shirts and 1 hat for $112.how much does each T-shirt and each hat cost? Write a system of equations that can be used to solve the problem.then solve the problem

Answer 1

The cost of each T-shirt and each hat is $20 and $12 respectively.

Step-by-step explanation:

As given in question that Skyler buys 8 T-shirts and 5 hats for $220.

The next day, he buys 5 T-shirts and 1 hat for $112.

We have to find the cost of T-shirt and hat each.

Let the cost of T-shirt and hat is x and y respectively.

According to the question,

8x + 5y = 220          ............(i)

5x + 1y = 112             ............(ii)

Multiply by 5 in eq. (ii)

25x + 5y = 560        ............(iii)

Now subtract eq. (iii) - eq. (i)

25x + 5y = 560

- 8x + 5y = 220

17x = 340

$x = \frac{340}{17}$

∴ x = 20

Put the value of x in eq. (ii)

5 x 20 + y = 112

100 + y = 112

y = 112 - 100

∴ y = 12

Hence the cost of each T-shirt and each hat is $20 and $12 respectively.

Answer 2

Cost of tshirt is 20 and that of hat is 12

Let x be the cost of t-shirt and you be the cost of hat

As per conditions

8x+5y=220

5x+y=112

Solving this we get x=20 and y=12

Therefore cost of one T-shirt is 20 and that of hat is 12