# 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)

## 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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