Question

1/4 of the difference between 9 and 2 is added to 3 times the sum of 12 and 5. Which of the following expressions represent this scenario?

• A. $\frac{1}{4}$(9 - 2) - 3(12 + 5)
• B. $\frac{1}{4}$(9 - 2) + 3(12 + 5)
• C. $\frac{1}{4}$(9 - 2) - 3(12 + 5)
• D. $\frac{1}{4}$(9 - 2) - 3(5) + 12

Answer 1

The correct option is B $\frac{1}{4}$(9 - 2) + 3(12 + 5)

It is given that 1/4 of the difference between 9 and 2 is added to 3 times the sum of 12 and 5.

1/4 of the difference between 9 and 2 equals $\frac{1}{4}$(9 - 2).

3 times the sum of 12 and 5 gives the expression 3(12 + 5).

Adding the two, we get
$\frac{1}{4}$(9 - 2) + 3(12 + 5).