Question

at a clothing store 3 shirts and 8 hats cost $65. the cost for 2 shirts and 2 hats is $30. how much does each shirt and hat cost

Answer 1

Answer:

For the $30 2 shirts and 2 hats each one would be $7.50.

For the $65 3 shirts and 8 hats each one would be $5.90

Step-by-step explanation:

Answer 2

Answer:

A shirt x cost $11

and a hat y cost $4

Step-by-step explanation:

Step one

This is a word problem and we can tackle it by expressing it Mathematically

Let us initialize shirt as "x" and hat as "y"

Now

1. 3 shirts and 8 hats cost $65

Mathematically

3x+8y= 65 - - - - - - - 1

2. the cost for 2 shirts and 2 hats is

$30

Mathematically

2x + 2y = 30---------2

We now have two equations with two unknowns

We can solve for the unknown simultaneously

Step a. Multiply equation one by 1

And equation two by 4

3x+8y= 65 - - - - - - - 1

8x + 8y = 120------------2

Step b

Subtracting equation one from two

3x+8y= 65 - - - - - - - 1

-(8x + 8y = 120) ------------2

=-5x+0=-55

-5x=-55

5x=55

x=55/5

x=11

Substituting the value of x in any of the equation above to solve for y say equation 2

2(11) + 2y = 30

22+2y=30

2y= 30-22

2y= 8

y= 8/2

y= 4

Hence a shirt x cost $11

And the hat y cost $4