Problem

The cost of a scarf is twice that of a hat. 1 scarf and 4 hats cost $£ 18$. How much dós a scarf cost?

Answer

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Answer

\(\boxed{£6}\)

Steps

Step 1 :Let \(x\) be the cost of a hat and \(2x\) be the cost of a scarf. We can then rewrite the problem as an equation: \(2x + 4x = 18\)

Step 2 :Combining the terms, we get: \(6x = 18\)

Step 3 :Divide both sides by 6: \(x = 3\)

Step 4 :Now we know the cost of a hat is £3, so the cost of a scarf is twice that: \(2x = 2(3) = 6\)

Step 5 :\(\boxed{£6}\)

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