Question

Which one of the following statements represents the correct relation between the given expressions?

Expression 1: $\frac{7}{6}$x + 131
Expression 2: $\frac{21}{2}$x + 1179

• A. Expression 2 is 6 times that of Expression 1.
• B. Expression 2 is 9 times that of Expression 1.
• C. Expression 2 is 12 times that of Expression 1.
• D. Expression 2 is 15 times that of Expression 1.

Answer 1

The correct option is B Expression 2 is 9 times that of Expression 1.

Expression 1: $\frac{7}{6}$x + 131
Expression 2: $\frac{21}{2}$x + 1179


Now,
$\frac{21}{2}$ can be factored as 9 × 7/6

Similarly,
1179 can be factored as 9 × 131

Writing $\frac{21}{2}$x + 1179 in terms of factors,
= ($\frac{7}{6}$ × 9)x + (131 × 9)
= 9 × ($\frac{7}{6}$x + 131)

$\therefore$ Expression 2 = 9 × Expression 1