Question

The cost of each white tile was £2 The cost of each blue tile was £4 (b) Work out the ratio of the total cost of the white tiles to the total cost of the blue tiles.

Answer 1

a) 3

b)
`(3)/(2)`

Explanation:

Ewen has 48 white tiles and 16 blue tiles.

(a) Write down the ratio of the number of white tiles to the number of blue tiles.

Give your ratio in its simplest form.

The cost of each white tile was £2

The cost of each blue tile was £4

(b) Work out the ratio of the total cost of the white tiles to the total cost

of the blue tiles.

Answer:

a) Since they are 48 white tiles and 16 blue tiles, ratio of the number of white tiles to the number of blue tiles is the number of white tiles divided by the number of blue tiles. Therefore:

Ratio of white tiles to the blue tiles = number of white tiles/number of blue tiles =
`(48)/(16)=3`

b) total cost of the white tiles = number of white tiles × cost of each white tile = 48 tiles × £2 per tile = £96

total cost of the blue tiles = number of blue tiles × cost of each blue tile = 16 tiles × £4 per tile = £64

ratio of the total cost of the white tiles to the total cost of the blue tiles = total cost of the white tiles/total cost of the blue tiles =
`(96)/(64)=(3)/(2)`