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Julie\'s House. George\'s friend Julie has just moved in to her new house. She h

ID: 3195589 • Letter: J

Question

Julie's House. George's friend Julie has just moved in to her new house. She has decided to decorate her house. She wants to make sure that she has enough money saved to complete the decorating. She would like to do the following bits of work: Paint the kitchen walls Tile the downstairs bathroom floor She has done research at the local DIY stores and discovered that The tiles that she likes measure 33 cm by 33 cm. The kitchen measures 3.5m by 7.Im and has a height of 2.5 m. Paint costs £4.40 per litre. Floor tiles come inPaint must be boughtThe downstairs in multiples of 5 bathroom measures packs of 9 litres. 3.2 m by 2.8 m. The upstairs bathroom measures 5.2 m by 3.0 m. A pack of floor tiles Paint covers 6 m2 oom measures costs EI1.99 per litre. She has currently saved £170. Is this enough?

Explanation / Answer

Let's go step by step. We'll focus on the kitchen first.

a) Paint = $4.4/Litre

b) The kitchen measures 3.5m by 7.1m and has a height of 2.5m

c) Paint must be bought in multiples of 5 Litres

d) Paint covers 6m2 per litre

-> Total surface area to be painted : 2(lb+bh+lh) = 2(3.5x7.1 + 3.5x2.5 + 2.5x7.1)

= 51.35m2

The amount of paint to be bought = 51.35/6 = 8.56L

Paint has to be bought in multiples of 5 litres -> So, we need 10L of paint.

Cost to buy paint: 10L x $4.4/L = $44

Answer to PART 1: $44 should be spent on painting the kitchen walls.

PART 2: Tiling the downstairs bathroom floor

1) The tiles are 33cm by 33cm

2) Floor tiles come in packs of 9

3) The downstairs bathroom measures 3.2m by 2.8m

4) The upstairs bathroom measures 5.2m by 3.0m

5) A pack of floor tiles costs $11.99

Area of the floor to be tiled : Down + Up

= (3.2x2.8) + (5.2x3)

= 24.56m2

Area of each tile: 0.33m x 0.33m = 0.1089m2

No. of tiles = 24.56/0.1089 = 225.53 tiles

Since they come in packs of 9 and 9 x 25 = 225, hence 26 packs of tiles are required to make up the number of tiles.

Cost of the tiles = $11.99 x 26 = $311.74

Hence, combining the cost of $311.74 + $44 = $355.74

As this is more than her saved amount of $170, this won't be enough, sadly.

Cheers!

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