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Chapter 1: Problem 56

What number do you subtract from 41 to get 11?

Short Answer

Expert verified
Subtract 30 from 41 to get 11.

Step by step solution

01

Understand the Problem

We need to figure out what number, when subtracted from 41, results in the number 11. This means we need to solve for this unknown number.
02

Set up the Equation

Since subtracting a number from 41 gives us 11, we can write this as an equation: \(41 - x = 11\), where \(x\) is the number we are trying to find.
03

Solve for x

To find \(x\), we need to isolate it on one side of the equation. We can do this by subtracting 11 from both sides of the equation: \(41 - 11 = x\). This simplifies to \(x = 30\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Solving Equations
In mathematics, equations are like puzzles that require us to find missing pieces. Solving equations involves finding the value of an unknown variable that makes the equation true.
In our example, the equation is set up as follows: \(41 - x = 11\), where \(x\) is the unknown variable. The equation tells us that 41 minus an unknown number equals 11. The goal is to find the value of \(x\).
Solving this simply means rearranging or transforming the equation step by step until \(x\) is isolated, showing us the value that makes both sides equal.
Subtraction in Equations
Subtraction is an operation often used in equations to balance both sides and solve for unknowns. When dealing with subtraction, it's essential to understand that whatever operation we perform on one side, we must also do on the other side to keep the equation balanced.
  • For example, in the equation \(41 - x = 11\), subtraction is the primary operation.
  • To simplify this, we can subtract the same value from both sides. Here, subtracting 11 from 41 gives us \(x = 30\).

This way, using subtraction helps us isolate the unknown variable and discover its value.
Solving for Unknown Variable
When solving a word problem, like figuring out what number subtracts from 41 to result in 11, one crucial step is identifying the unknown variable. This is usually marked by a letter such as \(x\).
Our task is to solve the equation \(41 - x = 11\) for \(x\).
By isolating \(x\), you determine its exact value.
  • Subtracting 11 from 41 isolates \(x\), resulting in \(x = 30\).
  • This solves the puzzle, as it reveals that 30 is the number which, when subtracted from 41, gives the answer 11.

Understanding this process is key in solving prealgebra word problems effectively.

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Most popular questions from this chapter

Add each of the following. (All problems involve carrying in at least one column. $$\begin{array}{l} 4,296 \\ 8,720 \\ 4,375 \\ \hline \end{array}$$

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits \(1,2,3,4,5,6,7,8,\) or 9 $$921 \div 442$$

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Rewrite each of the following using the associative property of addition. $$(4+n)+1$$

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations. Fundraiser As part of a fundraiser for the Earth Day activities on your campus, three volunteers work to stuff \(3,210\) envelopes with information about global warming. How many envelopes did cach volunteer stuff?
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