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2 years ago

3 T-shirts and 2 hats cost £14 2 T-shirts and 7 hats cost £15

Mathematics

2 answers:

Tcecarenko [31]2 years ago

8 0

Answer:

what is the meaning of the figure

juin [17]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Assuming you require the cost of a t- shirt and a hat

let t be t- shirt and h be hat , then

3t + 2h = 14 → (1)

2t + 7h = 15 → (2)

Multiplying (1) by 2 and (2) by - 3 and adding eill eliminate t

6t + 4h = 28 → (3)

- 6t - 21h = - 45 → (4)

Add (3) and (4) term by term to eliminate t

0 - 17h = - 17

- 17h = - 17 ( divide both sides by - 17 )

h = 1

Substitute h = 1 into either of the 2 equations and solve tor t

Substituting into (1)

3t + 2(1) = 14

3t + 2 = 14 ( subtract 2 from both sides )

3t = 12 ( divide both sides by 3 )

t = 4

The cost of a t- shirt is £4 and a hat is £1

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