Tom is tiling a wall. He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.

Large pack = 40 tiles £18
Small pack = 28 tiles £14

Special offer = 25% reduction when you buy 3 or more large packs.

Work out the cheapest cost for Tom to buy the packs of tiles he needs.

Answer £

The correct answer is - £ 40.5 for 3 large packs.

Step-by-step explanation:

Given:

Large pack = 40 tiles £18

Small pack = 28 tiles £14

Special offer = 25% reduction when you buy 3 or more large packs.

Solution:

Following combinations are possible for tom to get the tiles he needs:

1. 3 large packs

40*3 = 120 tiles with 25% discount

cost = 18*3 - 0.25*18*3 = 40.5

2. 4 small packs

28*4 = 112 tiles

cost = 14*4 = 56

3. 2 large packs and 1 small pack

40*2 + 28 = 108 tiles

cost = 18*2 + 14 = 50

4. 1 large pack and 3 small packs

40 + 28*3 = 124 tiles

cost = 18 + 14*3 = 60

Thus, the correct answer is - 1st case with three large packs.