Jack, Jill, and Bill each carried a 48-ounce bucket full of water down the hill. By the time thy reached the bottom, Jack’s bucket was only 3/4 full, Jill’s was 2/3 full, and Bill’s was 1/6 full. How much water did they spill altogether on the way down the hill?
17 1/3
To find out how much water they spilled altogether, we need to calculate the amount of water that was left in each of their buckets.
First, let's find out how much water Jack's bucket had left. Jack's bucket was 3/4 full, so we can calculate this by multiplying the total capacity of the bucket (48 ounces) by 3/4:
3/4 * 48 ounces = 36 ounces
So, Jack spilled 48 - 36 = 12 ounces of water.
Next, let's find out how much water Jill's bucket had left. Jill's bucket was 2/3 full, so we can calculate this by multiplying the total capacity of the bucket (48 ounces) by 2/3:
2/3 * 48 ounces = 32 ounces
Therefore, Jill spilled 48 - 32 = 16 ounces of water.
Finally, let's find out how much water Bill's bucket had left. Bill's bucket was 1/6 full, so we can calculate this by multiplying the total capacity of the bucket (48 ounces) by 1/6:
1/6 * 48 ounces = 8 ounces
Hence, Bill spilled 48 - 8 = 40 ounces of water.
To find the total amount of water they spilled altogether, we simply add up the amounts each person spilled:
12 ounces + 16 ounces + 40 ounces = 68 ounces
Therefore, they spilled a total of 68 ounces of water altogether on the way down the hill.