Q 1 - If 21 cows eat as much as 15 buffaloes, how many cows will eat as much as 35 buffaloes?

To solve this problem, we'll use the concept of ratios.

### Step 1: Establish the ratio of cows to buffaloes.
We know that 21 cows eat as much as 15 buffaloes. This can be expressed as:

\[
\frac{21 \text{ cows}}{15 \text{ buffaloes}} = \frac{21}{15} = \frac{7}{5}
\]

So, the ratio of cows to buffaloes is \( \frac{7}{5} \).

### Step 2: Determine how many cows correspond to 35 buffaloes.
Let's denote the number of cows required to eat as much as 35 buffaloes by \( x \).

Using the ratio:

\[
\frac{x \text{ cows}}{35 \text{ buffaloes}} = \frac{7}{5}
\]

Now, solve for \( x \):

\[
x = \frac{7}{5} \times 35
\]

\[
x = 7 \times 7 = 49
\]

### Final Answer:
49 cows will eat as much as 35 buffaloes.

Would you like more details or have any other questions? 

Here are 5 related questions you might find interesting:
1. If 14 cows eat as much as 10 buffaloes, how many cows will eat as much as 20 buffaloes?
2. If 30 cows eat as much as 20 buffaloes, how many buffaloes will 18 cows eat as much as?
3. How many buffaloes would eat as much as 63 cows if 21 cows eat as much as 15 buffaloes?
4. What is the ratio of cows to buffaloes if 10 cows eat as much as 8 buffaloes?
5. If 35 buffaloes eat 140 kg of food per day, how much food would 49 cows eat per day?

**Tip:** Understanding ratios is crucial in solving problems where quantities are compared or exchanged, such as in mixtures or shared resources.

Explore how to solve ratio problems with this example: If 21 cows eat as much as 15 buffaloes, determine how many cows will eat as much as 35 buffaloes. This detailed solution covers key mathematical concepts of ratios and proportionality, suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation