Calculate Ritu's Science Score Based On Maths Marks

Hey guys! Let's dive into this math problem where we're figuring out Ritu's science score based on her maths score. It sounds a bit tricky, but don't worry, we'll break it down step by step so it's super easy to understand. We will explore how to determine Ritu's science score given that it's 15 more than three-fourths of her maths score. If Ritu scored 'x' marks in maths, this article will guide you through the process of calculating her science score. Let's get started and make math a little less mysterious and a lot more fun!

Understanding the Problem

Before we jump into solving, let's make sure we're all on the same page. The question tells us that Ritu's science score isn't just a random number; it's connected to her maths score. Specifically, it's “15 more than three-fourths” of what she got in maths. Think of it like a recipe – we need to follow the steps in the right order to get the correct result. Understanding the relationship between the scores is key to unlocking the solution. Let's break down the components:

• Maths Score: Ritu scored 'x' marks in maths.
• Three-fourths of Maths Score: This means we need to calculate 3/4 of 'x', which can be written as (3/4) * x or 0.75x.
• 15 More Than Three-fourths: This means we add 15 to the result we got in the previous step. So, it becomes (3/4)x + 15.

By identifying these components, we are setting the stage to translate the word problem into a mathematical expression. This foundational step ensures that we accurately represent the problem before attempting to solve it. Remember, in mathematics, a clear understanding of the problem is half the solution. Now that we've dissected the problem, we're ready to move on to the next step: translating it into a mathematical equation. This is where we'll turn words into symbols and numbers, paving the way for a straightforward calculation. So, stick with me, and let’s turn this word problem into a piece of cake!

Translating Words into Math

Okay, so we know that math problems often look like scary word puzzles, but guess what? We can crack the code! To find Ritu's science score, we need to turn the words into a math equation. Think of it as translating from English to Math-ish! We'll express the relationship between Ritu's maths and science scores in a clear, concise manner. This is a crucial step because it forms the backbone of our solution. A well-formed equation will guide us to the correct answer, while a poorly constructed one can lead us astray. So, let’s get this right!

Here's how we break it down:

• “Ritu’s score in science…” This is what we want to find, so let's call it 'S' (for Science score).
• “…is 15 more than three-fourths of her score in maths.” This is the tricky part, but we’ve got this! “Three-fourths of her score in maths” means 3/4 times her maths score. We know her maths score is 'x', so this part is (3/4) * x, or 0.75x.
• “15 more than…” means we add 15 to the previous part. So, we have 0.75x + 15.
• Putting it all together: “Ritu’s score in science (S) is (=) 15 more than three-fourths of her score in maths (0.75x + 15).”

So, our equation looks like this: S = 0.75x + 15. Isn’t that neat? We've taken a sentence and turned it into a precise mathematical statement. This equation is our tool, our map, our secret decoder ring! It tells us exactly how to calculate Ritu's science score if we know her maths score. Now that we have our equation, we're ready for the most exciting part: plugging in the numbers and finding the answer. Keep following along, and let's make this math problem history!

Solving for Science Score

Alright, now for the fun part – let's actually calculate Ritu's science score! We've got our equation, S = 0.75x + 15, which is like our treasure map. The 'x' here is Ritu's maths score, and 'S' is what we're hunting for: her science score. To find 'S', we just need to plug in the value of 'x' and do the math. This is where the magic happens, where we transform a variable into a real number that represents Ritu's performance in science.

Since the problem states Ritu scored 'x' marks in maths, we will use this information to find her science score. Let's work through this together, step by step, to make sure we understand exactly how to arrive at the solution.

Our equation is:

S = 0.75x + 15

This equation tells us that to find Ritu's science score (S), we need to multiply her maths score (x) by 0.75 (which is the same as three-fourths) and then add 15 to the result. This straightforward formula encapsulates the relationship described in the problem statement, making the calculation process clear and direct.

Let's consider a scenario to illustrate how this works. Suppose Ritu scored 80 marks in maths. In this case, 'x' would be 80. Now, we'll substitute 'x' with 80 in our equation to find 'S':

S = 0.75 * 80 + 15

First, we multiply 0.75 by 80:

0. 75 * 80 = 60

Then, we add 15 to the result:

61. • 15 = 75

So, if Ritu scored 80 marks in maths, her science score would be 75 marks.

Therefore, Ritu's score in science is 0.75x + 15. This is the final expression for Ritu's science score in terms of her maths score. Now, anytime we know Ritu's maths score, we can easily calculate her science score using this formula.

Real-World Application

Math isn't just about numbers and equations; it's a tool that helps us understand the world around us! This problem with Ritu's scores is a perfect example of how math can be applied in real-life situations. You might be wondering,