Calculator Mistake #2?

Algebra Level 4

I bought seven items from my local convenience store. The bill came to $10.71. I thought that amount must have been wrong, as I had seen the cashier multiplying the seven prices together instead of adding them. (The cash register was still broken, so he had to use a calculator instead.)

When I questioned the cashier about it, he agreed that he had multiplied the prices together (he always does that), but said that in this case it didn't matter since the sum of the seven items was also $10.71.

What was the price of the least expensive item (in cents)?

Note: Each item costs a whole number of cents. For example, $2.11 is 211 cents, which is a whole number.


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