A baker bought 680,000 oz. of flour and packed the flour into 200 bags of equal size. He used some flour and had 100 bags left. He decided to repack the remaining flour bags into bags of 5,000 oz. bags. How many bags of flour did he have in the end?
If he used 100 bags of the flour, this means he used 1/2 of the flour (100 is 1/2 of 200). So, 1/2 of 680000 is 340000 oz that were left. Therefore, he had 340000/5000 bags (you can do the math).
To find the number of bags of flour the baker had in the end, we need to follow these steps:
Step 1: Determine the amount of flour remaining after using some for the initial 200 bags.
To do this, subtract the amount of flour used for the initial 200 bags from the total amount of flour bought:
Flour remaining = Total flour bought - Flour used in initial 200 bags
Step 2: Calculate the total amount of flour used in the initial 200 bags.
As we know that the baker packed the flour equally into 200 bags, the total amount of flour used in these bags can be found by dividing the total amount of flour bought by the number of bags:
Flour used in initial 200 bags = Total flour bought / Number of bags
Step 3: Calculate the amount of flour remaining after repacking into 5,000 oz bags.
To do this, subtract the amount of flour used for the initial 200 bags from the total amount of flour remaining, and then divide by 5,000 oz:
Remaining bags of flour = (Flour remaining - Flour used in initial 200 bags) / 5,000 oz
Let's substitute the given values into these steps:
Step 1: Flour remaining = 680,000 oz - Flour used in initial 200 bags
Step 2: Flour used in initial 200 bags = 680,000 oz / 200 bags
Step 3: Remaining bags of flour = (Flour remaining - Flour used in initial 200 bags) / 5,000 oz
Calculating these values will give us the final answer.