Question

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.

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