Question

Which equation represents this statement? 7 times the sum of 3 and a number is 49?

1) 7·3 n=49
2) 7n + 3=49
3) 7 + 3n=49
4) 7(n + 3)=49

Answer 1

The correct equation representing the statement '7 times the sum of 3 and a number is 49' is option 4: 7(n + 3) = 49.

Step-by-step explanation:

The statement '7 times the sum of 3 and a number is 49' can be translated into an equation by following these steps:

• Firstly, identify the 'sum of 3 and a number', which can be represented as '(3 + n)'.
• Then, because it is 7 times this sum, the expression should be multiplied by 7, resulting in '7(3 + n)'.
• Finally, this product is equal to 49, which gives us the complete equation '7(3 + n) = 49'.

Therefore, from the given options, the correct equation that represents the statement is option 4): 7(n + 3) = 49.