If four times a certain number increased by 6 is equal to 94, what is the number?
If x represents the number, then which of the following equations could be used to solve the problem?
4x + 6 = 94
or
4(x + 6) = 94
Let the # = x
Four time the # = 4(x)
The # increased by 6
4x + 6 = 94
That depends upon how the statement is interpreted.
I vote for the first one since x is a whole number.
Although the statement is somewhat ambiguous, I would favor the first equation.
A certain number decreased by 2
To solve this problem, we can set up an equation based on the given information. Let's break it down step by step:
1. Let's assume the certain number is represented by x.
2. We are given that four times this number (4x) increased by 6 is equal to 94.
3. So, we can form the equation: 4x + 6 = 94.
Now, let's analyze the provided equations:
1. 4x + 6 = 94:
This equation correctly represents the given information and would allow us to solve for x.
2. 4(x + 6) = 94:
Although the equation looks similar, it does not accurately reflect the given condition. Multiplying 4 by x is correct, but multiplying 4 by (x + 6) is incorrect. This equation would yield a different answer than the one we are looking for.
Thus, the correct equation to solve this problem is:
4x + 6 = 94