36-ounce
Further explanation
Given:
Jack, Jill, and Bill each carried a 48-ounce bucket full of water down the hill.
By the time they reached the bottom:
- Jacks bucket was only ³/₄ full.
- Jill's was ²/₃ full, and
- Bill's was ⁵/₆ full.
Question:
How much water did they spill altogether on their way down the hill?
The Process:
- Notice the denominator of the Jack fraction is 4. We divide 48 by 4 to make four sections of 12 units each.
- Notice the denominator of the Jill fraction is 3. We divide 48 by 3 to make three sections of 16 units each.
- Notice the denominator of the Bill fraction is 6. We divide 48 by 6 to make six sections of 8 units each.
Let us make each scheme as below:
- Jack's: [tex]\boxed{12}\boxed{12}\boxed{12}\boxed{12}[/tex]
- Jill's: [tex]\boxed{16}\boxed{16}\boxed{16}[/tex]
- Bill's: [tex]\boxed{8}\boxed{8}\boxed{8}\boxed{8}\boxed{8}\boxed{8}[/tex]
At Jack's:
- 3 out of 4 parts are full, or 3 x 12 = 36-ounce
- the remaining 1 out of 4 parts is spilled, or 1 x 12 = 12-ounce.
At Jill's:
- 2 out of 3 parts are full, or 2 x 16 = 32-ounce
- the remaining 1 out of 3 parts is spilled, or 1 x 16 = 16-ounce.
At Bill's:
- 5 out of 6 parts are full, or 5 x 8 = 40-ounce
- the remaining 1 out of 6 parts is spilled, or 1 x 8 = 8-ounce.
Finally, let's count the amount of water they spilled together.
[tex]\boxed{ \ 12 + 16 + 8 = 36 \ }[/tex]
Thus, the amount of water they spilled together on their way down the hill is 36-ounce.
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Keywords: Jack, Jill, and Bill, carried a 48-ounce bucket full of water, down the hill, they reached the bottom, only 3/4 full, 2/3, 5/6, how much water did they spill altogether, on their way, 36-ounce, oz
