### Brain Teasers

# Pizza Pizza Pie

Jeremy loves to order pizza from the same local joint every Friday. He has ordered so many pizzas there, they have set up a special account for him. The account earns him $1 for every purchase of $20 or more.

Jeremy orders the exact same thing every week, two large pizzas with anchovies and bacon. The total is always $22.95. Because he is always hungry, he never messes around with change. He pays the delivery guy $25 every time, and asks for the change to be put into his ever-growing account.

Since Jeremy orders pizza every week, how many days would it take before he will have enough money in his account to order his regular two pizzas without having to spend any extra money?

Jeremy orders the exact same thing every week, two large pizzas with anchovies and bacon. The total is always $22.95. Because he is always hungry, he never messes around with change. He pays the delivery guy $25 every time, and asks for the change to be put into his ever-growing account.

Since Jeremy orders pizza every week, how many days would it take before he will have enough money in his account to order his regular two pizzas without having to spend any extra money?

### Answer

56 days.Jeremy spends over $20 every week, which earns him $1 in his account.

When he pays for his pizza, he is always $2.05 over. This means that every week $3.05 is added to his account.

His regular order costs $22.95. $22.95 divided by $3.05 is just over 7.5 (orders). Since he only orders once a week, that equals 7.5 weeks. We must round 7.5 up to 8. It takes him 8 weeks to accumulate enough money (at least $22.95) in his account. 8 times 7 (days in a week) is 56 - the number of days it will take for his account to have enough money in it, for him to purchase his regular order.

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## Comments

No problemo... 8 weeks to free pizza.

And the difficult part in that was?

I think the difficult part for some people was reading the question correctly and trying to work with decimals rather than rounding.

Mind if I keep this problem and use it for teaching primary school mathematics? (I'm a student teacher).

Mind if I keep this problem and use it for teaching primary school mathematics? (I'm a student teacher).

loved it being a fan of math that is!

Great teaser! By the way, can you tell me where to find this shop? I would like to open an account too!

Very easy but still fun. The hardest part was imagining eating two large ANCHOVIE & BACON pizzas

This would smell more like a tease if he got one dollar back for every twenty spent.

Anchovy and bacon...yum! Good one, and easy isn't always a bad thing.

This is a math question not a teaser.

The answer is 50, not 56. He orders the first of eight pizzas on a Friday and the last of eight pizzas on a Friday 50 days later.

The answer is 50, not 56. He orders the first of eight pizzas on a Friday and the last of eight pizzas on a Friday 50 days later.

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