Patterns
1. How many Grey tiles are there in the 8th pattern?
2. There is a pattern with 40 White tiles. Which pattern number is it?
3. A pattern has 100 Grey tiles. How many White tiles are in this pattern?
A box of biscuits
A box of biscuits contains 36 biscuits. 20 biscuits have foil wrappers. 15 are chocolate biscuits with foil wrappers. If 9 are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there?
Great question, thankyou
ReplyDeleteThank you
DeleteFirst, we need to find a pattern for the grey tiles and the white tiles.
ReplyDeleteGrey tiles - n²
White tiles - 4n + 4
1) Now for this problem, we can apply the formula we found for the grey tiles. If we do that, we get n² when n is 8, so 8² = 64. This gives us 64 grey tiles in the eighth pattern.
2)Now, we can apply the white tiles formula, giving you 4n + 4 = 40, 4n = 36 and n = 9. This gives us 40 tiles in the 9th pattern.
3) First we can find n² = 100 and n = 10. Now we need to substitute n into the white tiles equation, giving us 4(10) + 4 which is 40 + 4 = 44. This gives us 44 white tiles when there are 100 grey tiles.