https://file.aiquickdraw.com/mathbot/file/17267091308637kx462fa.jpg

To solve the question based on the image, we need to determine the relationship between the quantities \( X \) and \( Y \), which are provided in the table:

### Step 1: Compute \( X \)
From the table, the value of \( X \) is given as:

\[
X = \frac{1}{30} + \frac{1}{4} - 14 + 20 + \frac{3}{5}
\]

Let's first calculate \( X \):

- \(\frac{1}{30} \approx 0.0333\)
- \(\frac{1}{4} = 0.25\)
- \(\frac{3}{5} = 0.6\)

Now add and subtract these values:

\[
X = 0.0333 + 0.25 - 14 + 20 + 0.6
\]

\[
X = 0.0333 + 0.25 + 0.6 + 20 - 14
\]

\[
X = 6.8833
\]

### Step 2: Compute \( Y \)
The value of \( Y \) is given as \( 1\% \) of 2250:

\[
Y = \frac{1}{100} \times 2250 = 22.5
\]

### Step 3: Compare \( X \) and \( Y \)
Now that we have the values of \( X = 6.8833 \) and \( Y = 22.5 \), we can analyze the given options:

- \( A: 3X - 2Y = 0 \): 
  \[
  3X = 3 \times 6.8833 = 20.65
  \]
  \[
  2Y = 2 \times 22.5 = 45
  \]
  This is false because \( 20.65 - 45 \neq 0 \).

- \( B: X - Y > 0 \): 
  \[
  X - Y = 6.8833 - 22.5 = -15.6167
  \]
  This is false because \( X < Y \).

- \( C: \text{Hubungan X dan Y tidak dapat ditentukan} \): 
  This is false because we can calculate both \( X \) and \( Y \) with the given data.

- \( D: 3X < 2Y \):
  \[
  20.65 < 45
  \]
  This is true.

- \( E: 2X < 3Y \):
  \[
  2X = 2 \times 6.8833 = 13.7666
  \]
  \[
  3Y = 3 \times 22.5 = 67.5
  \]
  This is true as \( 13.7666 < 67.5 \).

Thus, the correct answer is **E**: \( 2X < 3Y \).

Do you want more details or have any other questions?

### 5 Related Questions:
1. How would the relationship between \( X \) and \( Y \) change if \( X \) were larger than \( Y \)?
2. What is the meaning of the inequality \( 2X < 3Y \) in a real-world context?
3. How do you solve similar problems where fractions are involved?
4. How can we interpret option \( D \) in terms of the relationship between \( X \) and \( Y \)?
5. What would happen if \( Y \) were smaller than \( X \)?

### Tip:
When working with fractions, always ensure they are simplified or converted to decimals to avoid errors in calculation.

Determine the correct relationship between the quantities X and Y based on the given information.

Learn how to find the correct relationship between two quantities X and Y using fractions and percentages. This problem involves calculating X by summing and subtracting fractions and integers, and Y by finding 1% of 2250. Suitable for students in Grades 8-10.

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