Question

Lucy is tiling her bathroom. She buys white and blue tiles in the ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.If she buys 16 blue tiles how much does Lucy spend on tiles in total?

Answer 1

Answer:

* Lucy spent £289.2 on tiles *

Step-by-step explanation:

We know that the tiles are present in a 13 to 2 ratio ( 13 : 2 ) so if there are 16 blue tiles that she buys, the number of red tiles bought should be represented the following -

$\frac{13}{2}$ = $\frac{x}{16}$ ... now this is only assuming that the 13 : 2 ratio is meant by white : blue tiles. Let's solve through cross - multiplication,

13 $*$ 16 = 2$x$,

208 = 2$x$,

$x$ = 104 white tiles

So if there are 104 white tiles, and 16 blue tiles, we can determine the total amount Lucy spent on tiles by associating the cost to the type of tile,

£2.80 $*$ 16 = £44.8,

£2.35 $*$ 104 = £244.4,

Total Amount Lucy Spent on Tiles = £44.8 + £244.4 = £289.2

Answer 2

Lucy spent £289.2 on tiles

• The calculation is as follows;

$\frac{13}{2} = \frac{x}{16}\\\\ 13\times 16 = 2x\\\\ 2 x = 208$

x = 104 while tiles

Now the total amount should be

$2.80 \times 16 = 44.8\\ And, \\ 2.35 \times 104 = 244.4$

So,

= 44.8 + 244.40

= 289.2

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