https://file.aiquickdraw.com/mathbot/file/1727451972385ueda0r35.jpg

The problem in the image is in Hindi, and it can be translated as follows:

Rakshita has only 1-rupee and 2-rupee coins. If the total number of coins she has is 50 and the total amount is 75 rupees, then what is the number of 1-rupee and 2-rupee coins, respectively?

Let's denote:
- The number of 1-rupee coins as \( x \).
- The number of 2-rupee coins as \( y \).

We have two equations based on the given information:
1. The total number of coins is 50:
   \[
   x + y = 50
   \]

2. The total value of the coins is 75 rupees:
   \[
   1x + 2y = 75
   \]

Now, let's solve these equations step-by-step.

From the first equation:
\[
x = 50 - y
\]

Substitute \( x = 50 - y \) into the second equation:
\[
(50 - y) + 2y = 75
\]
\[
50 + y = 75
\]
\[
y = 75 - 50 = 25
\]

So, the number of 2-rupee coins \( y = 25 \).

Substitute \( y = 25 \) back into the first equation to find \( x \):
\[
x = 50 - 25 = 25
\]

Therefore, Rakshita has 25 one-rupee coins and 25 two-rupee coins.

The correct answer is:
**Option D: 25 and 25**

Would you like more details or have any other questions?

### 5 Related Questions:
1. What if Rakshita had 60 coins in total instead of 50? What would be the new ratio?
2. How would the equations change if Rakshita had 100 rupees in total with the same number of coins?
3. If Rakshita had 30 one-rupee coins, how many two-rupee coins would she have?
4. What would be the total value if Rakshita had 20 one-rupee and 30 two-rupee coins?
5. How can we represent this problem graphically?

### Tip:
When solving word problems, clearly defining variables and setting up equations based on the given information can make finding the solution easier.

Rakshita has only 1-rupee and 2-rupee coins. If she has a total of 50 coins and the total amount is 75 rupees, what is the number of 1-rupee and 2-rupee coins?

Solve the problem where Rakshita has 1-rupee and 2-rupee coins. Given that she has a total of 50 coins and their total value is 75 rupees, find out how many coins of each type she has. This problem involves solving linear equations, suitable for students in Grades 6-8.

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