Question

translate the sentence into an equation using n as the unknown number. then solve the nearest hundredth if necessary.
the quotient of a number divided by 6 is 3.5.
a. \\(\frac{6}{n} = 3.5\\)
\\(n = 21\\)
b. \\(\frac{n}{6} = 3.5\\)
\\(n = 21\\)
c. \\(6n = 3.5\\)
\\(n = 0.58\\)
d. \\(6n = 3.5\\)
\\(n = 21\\)

Explanation:

Step1: Analyze the sentence

The sentence says "The quotient of a number divided by 6 is 3.5". Let the number be \( n \). The quotient of \( n \) divided by 6 is \( \frac{n}{6} \), so the equation should be \( \frac{n}{6}=3.5 \).

Step2: Solve the equation

To solve \( \frac{n}{6}=3.5 \), multiply both sides by 6: \( n = 3.5\times6 \). Calculate \( 3.5\times6 = 21 \), so \( n = 21 \). This matches option b.

Answer:

b. \(\frac{n}{6}=3.5\)
\(n = 21\)