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Elena drank 3 liters of water yesterday. Jada drank [tex]\frac{3}{4}[/tex] times as much water as Elena. Lin drank twice as much water as Jada.

a. Did Jada drink more or less water than Elena? Explain how you know.

b. Did Lin drink more or less water than Elena? Explain how you know.

Sagot :

GinnyAnswer
Let's break down the problem step by step.

### Given:
- Elena drank 3 liters of water.
- Jada drank [tex]\(\frac{3}{4}\)[/tex] times as much water as Elena.
- Lin drank twice as much water as Jada.

### Step-by-Step Solution:

1. Determine how much water Jada drank:
- Jada's water intake is [tex]\(\frac{3}{4}\)[/tex] times that of Elena's.
- Elena's water intake is 3 liters.
- Therefore, Jada's water intake is [tex]\(3 \times \frac{3}{4} = \frac{9}{4} = 2.25\)[/tex] liters.

2. Determine whether Jada drank more or less water than Elena:
- Compare the amount of water Jada drank (2.25 liters) to the amount Elena drank (3 liters).
- Since [tex]\(2.25 < 3\)[/tex], Jada drank less water than Elena.

3. Determine how much water Lin drank:
- Lin's water intake is twice that of Jada's.
- Jada's water intake is 2.25 liters.
- Therefore, Lin's water intake is [tex]\(2.25 \times 2 = 4.5\)[/tex] liters.

4. Determine whether Lin drank more or less water than Elena:
- Compare the amount of water Lin drank (4.5 liters) to the amount Elena drank (3 liters).
- Since [tex]\(4.5 > 3\)[/tex], Lin drank more water than Elena.

### Answers:

a.
Jada drank less water than Elena. We know this because Jada drank 2.25 liters of water, which is less than the 3 liters of water that Elena drank.

b.
Lin drank more water than Elena. We know this because Lin drank 4.5 liters of water, which is more than the 3 liters of water that Elena drank.
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