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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 Bills was 5/6 full. How much water did they spill altogether on their way down the hill

Verified Answer :

BladeRunner212

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: \(\boxed{12}\boxed{12}\boxed{12}\boxed{12}\)
  • Jill's: \(\boxed{16}\boxed{16}\boxed{16}\)
  • Bill's: \(\boxed{8}\boxed{8}\boxed{8}\boxed{8}\boxed{8}\boxed{8}\)

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.

\(\boxed{ \ 12 + 16 + 8 = 36 \ }\)

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

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