Answer :
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.
### 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.
