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35 is 7 out of what number?

The question “35 is 7 out of what number?” may seem puzzling at first. However, with a bit of mathematical reasoning, we can easily determine the unknown number. In this article, we will explore various methods to find the missing number and provide a comprehensive explanation to help clarify any confusion.

Understanding the question

To start, let’s break down the question itself. We are given the information that 35 is 7 out of a certain number. This means that if we divide 35 by a specific number, the result will be 7. Mathematically, this can be represented as:

35 ÷ x = 7

where x is the unknown number we are trying to find.

Solving for x

To solve for x, we need to isolate it on one side of the equation. We can achieve this by multiplying both sides of the equation by x:

35 = 7x

Now, we can divide both sides of the equation by 7 to solve for x:

35 ÷ 7 = 7x ÷ 7

5 = x

So, the missing number is 5. Therefore, 35 is 7 out of 5.

FAQs

Q: Is there a different method to solve this problem?

A: Yes, there are multiple approaches to solve this problem. One alternative method involves cross-multiplication. By setting up a proportion, we can find the missing number. The equation would look like this: 35/7 = x/1. Cross-multiplying gives us 35 = 7x. Following the same steps as before, we find that x = 5.

Q: Can we find a different missing number that satisfies the equation?

A: No, there is only one solution to this equation. If we divide 35 by any other number, the result will not be 7. In this case, only 5 satisfies the equation 35 ÷ x = 7.

Q: Are there any real-life applications for this problem?

A: Yes, this type of problem is commonly used in various fields, such as finance and statistics. For example, if you have a total of 35 items and want to distribute them equally among 7 people, you would need to divide 35 by 7 to determine how many items each person will receive.

Q: Is it possible to have a fractional or decimal missing number?

A: No, since we are dealing with a division problem, the missing number must be a whole number. In this case, the missing number is 5, which is an integer.

Q: Can we use this method to solve similar equations?

A: Absolutely! This method can be applied to solve various equations where one value is a fraction or proportion of another. By setting up the equation correctly, you can find the missing value using the same steps outlined above.

In conclusion, the question “35 is 7 out of what number?” can be easily solved by setting up the equation 35 ÷ x = 7 and isolating x. The missing number turns out to be 5. This problem demonstrates how mathematical reasoning and basic algebraic manipulation can help solve seemingly complex problems.

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