A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write two patterns that could represent the costs of 1, 2, 3, 4 and 5 hats and scarves. List the first 5 terms of each pattern. Then explain how to find the cost of 6 hats and scarves, using the patterns you wrote.

Question

Mathematics

Alexandra

22 May, 15:43

A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write two patterns that could represent the costs of 1, 2, 3, 4 and 5 hats and scarves. List the first 5 terms of each pattern. Then explain how to find the cost of 6 hats and scarves, using the patterns you wrote.

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Dillon Duran · Answer 1

Scarves = 1.5 * hats

Let scarves be 'y' and hats be 'x'

y = 1.5x

2y = 2 (1.5x)

3y = 3 (1.5x)

4y = 4 (1.5x)

5y = 5 (1.5x)

The cost of 6 scarves and 6 hats = 6x + 6 (1.5x) = 6x + 9x = 15x