Question

4 t-shirts and a hat costs £29.00
3 t-shirts and a hat costs £23.00.
How much does a t-shirt cost?
How much does a hat cost?

Answer 1

tshirt cost 6

hat cost 5

4 tees n hat cost is 29 n 3 tees n a hat cost is 23 so if we minus 29 -23=6 so it is the price of one tshirt so by solving 4tees×6=24 +1hat×5=29

3""""×6=18+1""""×5=23

Answer 2

The cost of t shirt and a hat are £6 and £5 respectively.

Step-by-step explanation:

Let cost of 1 t-shirt be x

Let cost of 1 hat be y

4 t-shirts and a hat costs £29.00

$\Rightarrow 4x+y=29$

3 t-shirts and a hat costs £23.00.

$\Rightarrow 3x+y=23$

Plot the lines on the graph

$4x+y=29$ -- Red

$3x+y=23$ -- Blue

Intersection point will provide the solution

(x,y)=(6,5)

Hence the cost of t shirt and a hat are £6 and £5 respectively.

#Learn more:

Solve graphically the system of equation x+y=3 ; 3x-2y=4

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