Jaya's score in Mathematics is 30 more than two third of her score in English. If her score in English is `x`, then which of the following expressions shows her score in Mathematics?

Options

A. `(2)/(3) ( x + 30)`
B. `(2x)/(3) + 30`
C. `(2x)/(3) - 30`
D. `30 - (2x)/(3)`

Answer

To find Jaya's score in Mathematics based on her score in English, we can follow these steps:

1. **Identify the score in English**: Let Jaya's score in English be represented by the variable \( x \).

2. **Calculate two-thirds of the English score**: To find two-thirds of her score in English, we multiply \( x \) by \( \frac{2}{3} \). This gives us the expression:
\[ \frac{2}{3}x \]

3. **Add 30 to the result**: According to the problem, Jaya's score in Mathematics is 30 more than two-thirds of her score in English. Therefore, we need to add 30 to the expression we found in step 2:
\[ \frac{2}{3}x + 30 \]

4. **Final expression for Mathematics score**: Thus, Jaya's score in Mathematics can be expressed as:
\[ \frac{2}{3}x + 30 \]

So, the expression that shows her score in Mathematics is \( \frac{2}{3}x + 30 \).