Question

7 t-shirts and a hat costs £47.00
5 t-shirts and a hat costs £35.00.
How much does a t-shirt cost?
How much does a hat cost?

Answer 1

Answer:

Step-by-step explanation:

Let T-shirt = T and hat = H

7T + H = 47 ----1

5T + H = 35 ---2

SUBTRACTING EQUATION 2 FROM 1

7T + H - 5T - H = 47 - 35

2T = 12

T = 6

PUTTING T IN EQUATION 2

30 + H = 35

H = 5

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Answer 2

Given - Total cost

Find - Cost of hat and t-shirt

Solution - Let the cost of t-shirt and hat be x and y. Representing the given information in mathematical form -

7x + y = 47 - Equation 1

5x + y = 35 - Equation 2

Subtracting equation 2 from equation 1

8x + y - 5x - y = 47 - 35

Performing subtraction

3x = 12

Shifting 3 to Right Hand Side

x = 12/3

Performing division

x = 4

So, the cost of t-shirt is £4.

Keep the value of x in equation 1

7*4 + y = 47

Performing multiplication on Left Hand Side

28 + y = 47

Shifting 28 to Right Hand Side

y = 47 - 28

Performing subtraction

y = 19

So, the cost of hat is £19.

Hence, the cost of t-shirt is £4 and the cost of hat is £19.