Question

Jack and Jill are filling up a small pool with water. For every two pails that Jack fills, Jill fills exactly one. If both of them fill the pool with a total of 36 pails, how many pails did Jack and Jill each contribute?

  • (24 ; 12)
  • (20 ; 16)
  • (18 ; 18)
  • (12 ; 24)

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Answer

Question:

Jack and Jill are filling up a small pool with water. For every two pails that Jack fills, Jill fills exactly one. If both of them fill the pool with a total of 36 pails, how many pails did Jack and Jill each contribute?

  • (24 ; 12)
  • (20 ; 16)
  • (18 ; 18)
  • (12 ; 24)

:

The correct option is (24 ; 12).

Step I: Identify Key Facts

Jack and Jill are filling up a small pool with water. For every two pails that Jack fills, Jill fills exactly one. If together they fill a total of 36 pails, we need to find out how many pails each contributed.

Step II: Define the Variables

Since for every two pails that Jack fills, Jill fills one:

  • If Jack fills $2x$ pails,
  • Then Jill fills $x$ pails.

Step III: Form Equations to Solve

Given:

  • They fill the pool together with a total of 36 pails.

We can write this as: $$ 2x + x = 36 $$

Simplifying this equation: $$ 3x = 36 \ x = 12 \ $$

Conclusion

Since ( x = 12 ):

  • Jack contributes ( 2 \times 12 = 24 ) pails,
  • Jill contributes ( 12 ) pails.

Thus, Jack contributes 24 pails and Jill contributes 12 pails.


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