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miskamm [114]
3 years ago
12

jack, Jill and Bill each carried a 48-ounce bucket full of water down the hill. By the time they reached the bottom, jacks bucke

t 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
Mathematics
2 answers:
Shkiper50 [21]3 years ago
5 0

36-ounce

<h3>Further explanation</h3>

<u>Given:</u>

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.

<u>Question:</u>

How much water did they spill altogether on their way down the hill?

<u>The Process:</u>

  • 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.

<h3>Learn more</h3>
  1. How much more paint will Mathilde need to buy? brainly.com/question/36885
  2. What fraction of the box is left (Kim and Courtney)? brainly.com/question/37157
  3. What is the amount of apple juice in each bottle? brainly.com/question/5798698

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

NeX [460]3 years ago
4 0


Jill lost 1/3

Bill lost 1/6

and Jack lost 1/4

Make a common denominator -  let's use 12

Jill lost 4/12

Bill lost 2/12

Jack lost 3/12

Add them together = 9/12

reduce by dividing by 3.

total of 3/4 spilt

48 divided into 4 parts then multiplied by 3 of those parts

48 / 4 * 3 = 36 

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