# Shopping Quiz Puzzle Answer

I was standing in a queue in the village shop near Quizmastershop Towers. It was very odd, but all five customers in front of me were buying two items, as was I.

The first bought Tomato Ketchup and Sugar for £2.70.

The next paid £1.45 for a Croissant and Baked Beans.

A sweet-toothed customer next with Honey and Sugar for £3.55.

The fourth customer's Baked Beans and Tomato Ketchup cost £1.55.

And finally Honey and a Croissant came to £2.85.

Having patiently waited my turn I paid £2.40 for my two items.

But what did I buy?

The method here is to find the price of one of the five items purchased, and then work out the prices of the other four. One way is:

TK + S = 270 and

TK + BB = 155

subtracting gives

S - BB = 115 or

BB = S - 115 (a)

then

H + S = 355

H + C = 285

subtracting gives

S - C = 70 or

C = S - 70 (b)

We now have BB and C in terms of S and we have BB and C in one equation

C + BB = 145

S - 70 + S - 115 = 145

2S - 185 = 145

2S = 145 + 185 = 330

S = 165

So now we know Sugar costs £1.65 and successively putting known values into the equations that we have, we can find out that

Honey costs £1.90

Tomato Ketchup costs £1.05

A Croissant costs 95p

And Baked Beans cost 50p

The only two of these that add up to £2.40 are Honey and Baked Beans

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