Question

Which equation represents this sentence?

Three less than the product of seven and a number is four more than the number.



Responses

7n−3+4=n
7 n minus 3 plus 4 equals n

7n−3=n+4
7 n minus 3 equals n plus 4

3−7n=n+4
3 minus 7 n equals n plus 4

3−7n+4=n

1 answer

To translate the sentence "Three less than the product of seven and a number is four more than the number" into an equation, let's break it down:

  1. Product of seven and a number: This can be represented as \( 7n \), where \( n \) is the number.
  2. Three less than that product: This becomes \( 7n - 3 \).
  3. Four more than the number: This can be represented as \( n + 4 \).

Now, we can set up the equation based on the sentence:

\[ 7n - 3 = n + 4 \]

Thus, the correct representation of the sentence is:

7n−3=n+4

So the correct answer is: 7n−3=n+4