Question

Which of the following word problems can be represented by the equation

4×n+8=16?

A. "Four times a number increased by 8 is 16. What is the number?"
B. "Eight more than four times a number is 16. What is the number?"
C. "Four times a number plus 8 equals 16. What is the number?"
D. "Sixteen divided by four times a number is 8. What is the number?"

Answer 1

The equation 4×n+8=16 matches the word problems in options A, B, and C, which all describe a number multiplied by four and increased by eight to equal sixteen.

Step-by-step explanation:

The word problem that can be represented by the equation 4×n+8=16 is: "Four times a number plus 8 equals 16. What is the number?". Both option A, "Four times a number increased by 8 is 16. What is the number?" and option B, "Eight more than four times a number is 16. What is the number?" are also correct. All three options A, B, and C indicate the same relationship of multiplication followed by addition, matching the given equation. However, option D, "Sixteen divided by four times a number is 8. What is the number?", does not fit the equation as it suggests division instead of addition after multiplication.