Question

© 8 t-shirts and a hat costs £42.00

3 t-shirts and a hat costs £17.00.

How much does a t-shirt cost?

How much does a hat cost?

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t-shirt: £

hat: £

Answer 1

T-shirt: £5

Hat: £2

Explanation:

Use simultaneous equations elimination method for best results.

8t + h= 42

3t + h= 17

Subtract the two equations. h gets cancelled. 8t-3t= 5t. 42-17= 25.

5t= 25

t= 25÷5

t= £5

Substitute the value of t to give h.

8(5) + h=42

40+ h=42

h= 42-40

h= £2

Answer 2

t-shirt: £5.00, hat: £2.00

Explanation:

You can rewrite them into equations:

8t+h=42.

3t+h=17.

Then subtract the h from both equations using the elimination process.

8t-3t is 5t, and 42-17 is 25. The new equation is 5t=25, thus t=5. If we substitute the 5 into one of the other equations, we get h=2.