Suppose you wanted to place 1,000,000 pennies in large coin banks. If you put 50,000 pennies in each bank, in which bank would you find the 678,230th penny?
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14
To determine in which bank you would find the 678,230th penny, you need to divide the total number of pennies (1,000,000) by the number of pennies in each bank (50,000). Let's calculate:
678,230 ÷ 50,000 = 13.5646
Since we can't have a fraction of a bank, we will round up to the nearest whole number. So, the 678,230th penny would be found in the 14th bank.
To derive this answer, you would perform the following steps:
1. Divide the total number of pennies by the number of pennies in each bank: 1,000,000 ÷ 50,000 = 20.
2. Take the whole number (in this case, 20) and subtract 1 to get the previous bank: 20 - 1 = 19.
3. Multiply the previous bank by the number of pennies in each bank: 19 × 50,000 = 950,000.
4. Subtract the result from the total number of pennies to get the remaining pennies: 1,000,000 - 950,000 = 50,000.
5. Divide the remaining pennies by the number of pennies in each bank to determine the bank number: 50,000 ÷ 50,000 = 1.
6. Add 1 to the previous bank to get the correct bank number: 19 + 1 = 20.
7. Therefore, the 678,230th penny would be found in the 20th bank.