Use Linear Equations to Solve Problems
Use the five-step strategy for solving word problems to find the number or numbers described in the following
exercise.
-When four times the number is added to 7 times the number, the result is 33. What is the number?
A)3
B)-4.7
C)4.7
D)1

Question

Quizplus · Accepted Answer

Let's use the five-step strategy to solve this problem:
Step 1: Understand the problem.
We need to find a number such that when we multiply it by 4 and add the result to 7 times the number, we get 33.

Step 2: Plan a solution.
Let's call the number we're looking for "x". Then we can write an equation based on the information given:
4x + 7x = 33
Simplifying this equation, we get:
11x = 33
Solving for x, we get:
x = 3

Step 3: Solve the problem.
We found that the number we're looking for is 3.

Step 4: Check the answer.
To check our answer, we can substitute x=3 into the original equation:
4(3) + 7(3) = 12 + 21 = 33
The left side of the equation matches the right side, so we can be confident that our answer is correct.

Step 5: Communicate the answer.
The number we're looking for is 3. Therefore, the answer is A.