Question

A number is divided by 7 and then added to the product of 5 and 2 to get 15. Derive an algebraic expression to find the number.

• A. $\frac{x}{7}+5\times 2=15$
  
• B. $x\times 7+5\times 2=15$
  
• C. $\frac{x}{7}-5=15$
  
• D. $x\times 7-5\times 2=15$
  

Answer 1

The correct option is A $\frac{x}{7}+5\times 2=15$


Let the number be $x$.
Step 1: Divide the number $x$ by 7
$\Rightarrow x÷7=\frac{x}{7}$

Step 2: Add the number to the product of 5 and 2
$\Rightarrow \frac{x}{7}+(5\times 2)$

Step 3: Equate the result to 15.
$\Rightarrow \frac{x}{7}+5\times 2=15$