FILE No.186Unsolved
You bought 15 bottles of juice and drank them. If you take 3 empty bottles to the store, they will exchange them for 1 new bottle of juice. The empties from those can be exchanged again. (No borrowing is allowed.)
How many bottles of juice can you drink in total?
If you get stuck, open the hints one at a time, in order.
After drinking 15, how many empty bottles are there?
Do not forget to count the leftover empties.
How many empty bottles remain at the end?
How many bottles of juice can you drink in total?
Choose the answer closest to the truth.
22 bottles
The answer is "22 bottles."
15 empty bottles → 5 bottles (up to the 20th). 5 empty bottles → 1 bottle (the 21st), with 2 left over. 1 empty bottle + 2 left over = 3 → 1 bottle (the 22nd). In the end 1 empty bottle remains, and no more can be exchanged.
Because it is easy to finish the calculation at 15 ÷ 3 = 5 bottles.
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