### Brain Teasers

# What Did I Buy?

Math
Math brain teasers require computations to solve.

When Skid Mark walked into a shop, he bought a bottle of mineral water, 2 sandwiches and a bag of crisps. This cost him 761QEM.

Later on, Exclamation Mark goes into the same shop and buys a sandwich and a bottle of fizzy juice. This cost him 408QEM.

Later, Birth Mark goes into the same shop and buys a bottle of mineral water and a bag of crisps. This cost her 153QEM.

Later on, Book Mark goes into the same shop and buys 3 bottles of mineral water and 2 sandwiches. This cost her 938QEM.

Later on, Question Mark goes into the same shop and buys 4 items. This cost him 555QEM. What did Question Mark buy?

Later on, Exclamation Mark goes into the same shop and buys a sandwich and a bottle of fizzy juice. This cost him 408QEM.

Later, Birth Mark goes into the same shop and buys a bottle of mineral water and a bag of crisps. This cost her 153QEM.

Later on, Book Mark goes into the same shop and buys 3 bottles of mineral water and 2 sandwiches. This cost her 938QEM.

Later on, Question Mark goes into the same shop and buys 4 items. This cost him 555QEM. What did Question Mark buy?

### Answer

Question Mark bought 2 bottles of fizzy juice, 1 sandwich and 1 bag of crisps.Everything costs as follows:

Mineral water: 110QEM

Crisps: 43QEM

Sandwiches: 304QEM

Fizzy juice: 104QEM

You will notice that the difference in cost between Skid Mark and Birth Mark is 608QEM. This is because they both bought a bottle of mineral water and a bag of crisps, but Skid Mark bought 2 sandwiches so sandwiches cost (608/2=304QEM). Since Book Mark paid 938 for what she bought, 608QEM was used to buy 2 sandwiches, the rest of her money would be used to buy 3 bottles of mineral water, so one bottle costs (330/3=110QEM). Using this information you can work out what everything else costs.

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