### 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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