Question

Translate the sentence into an equation.

Three more than the quotient of a number and 7 equals 6.
Use the variable w for the unknown number.

Answer 1

Translating Sentences into Equations

A key part of this is recognizing certain words to change into operations or numbers:

• quotient = divide
• three more = add 3
• 'a/the number' = use a variable (in this case, it's w)

Solving the Question

We're given:

• Three more than the quotient of a number and 7 equals 6
  ⇒ 'the quotient of a number and 7' tells us we divide w by 7:
• Three more than
  `(w)/(7)` equals 6
  ⇒ 'three more than' means we add 3 to the fraction:
• 
  `(w)/(7)+3` equals 6
• 
  `(w)/(7)+3=6`

Answer

`(w)/(7)+3=6`