Today's maths comes to you courtesy of Wembley Master Chef, 44 Harrow Rd, HA9 6PG.
This Pizza Deal poster appears in the window.
That's good value, isn't it?
Well let's check...First let's scale that down to the cost of one pizza, not two.
Diameter Price 7 inch £3.75 9 inch £4.95 12 inch £6.95 15 inch £8.45 We can try to find the best value pizza by calculating price per inch.
Diameter Price p per inch 7 inch £3.75 54p 9 inch £4.95 55p 12 inch £6.95 58p 15 inch £8.45 56p This suggests the 7 inch pizza is the best value at 54p per inch.
But they're all remarkably close, each just over 50p per inch.
It almost looks like this is how they determined the prices.But pizzas aren't linear, it's the area that increases.
Please ignore everything in the previous table, it's mathematical rubbish.We could try to estimate the area by counting the number of pepperoni slices on each pizza.
Diameter Price no of slices p per slice 7 inch £3.75 12 31p 9 inch £4.95 26 19p 12 inch £6.95 32 22p 15 inch £8.45 35 24p This suggests the 9 inch pizza is the best value at 19p per slice of pepperoni.
The 15 inch pizza might look more packed but its slices are 22p each.However this is also mathematical rubbish because you can't just go by photos.
In particular the 12 inch and 15 inch pizzas are shown pretty much the same size, and they're not.
My suspicion is that these pizza images aren't real, merely AI conjuring.
So we can't use fictional pepperoni slices to calculate best value either.What we should be doing is calculating the area of each pizza in square inches.
It's good oldA=πr².
Diameter Price Area p per sq in 7 inch £3.75 38 sq in 10p 9 inch £4.95 64 sq in 8p 12 inch £6.95 113 sq in 6p 15 inch £8.45 177 sq in 5p That's more like it.
The 7 inch pizza is the worst value at 10p per square inch.
And the 15 inch pizza is the best value at 5p per square inch.This is because a 15 inch pizza is a lot bigger than it sounds.
Diameter Area compared
to 7 inch7 inch 38 sq in ×1 9 inch 64 sq in ×1.7 12 inch 113 sq in ×3 15 inch 177 sq in ×4.7 A 15 inch pizza is almost 5 times the size of a 7 inch.
But at Wembley Master Chef the price is only roughly double.
So if you want best value cheesy pepperoni stodge, go large.I also checked the cost of buying these pizzas online. Ouch.
Diameter Shop deal Online order 7 inch £3.75 unavailable 9 inch £4.95 £8.90 12 inch £6.95 £11.90 15 inch £8.45 £14.90 The last column is even if you order online and collect it yourself.
In each case you're paying 75% extra for the privilege of ordering online.So at the end of all that, two conclusions.
- Larger pizzas are much better value.
- Don't order online.
And not just at Wembley Master Chef.