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 [tex]\dfrac{w}{7}[/tex] equals 6
⇒ 'three more than' means we add 3 to the fraction: - [tex]\dfrac{w}{7}+3[/tex] equals 6
- [tex]\dfrac{w}{7}+3=6[/tex]
Answer
[tex]\dfrac{w}{7}+3=6[/tex]
