Question

Amanda's age is one more than five times her sons age. If the sum of their ages is more than 43 years, which inequality represents her sons age

Answer 1

Given:

Amanda's age is one more than five times her sons age.

Sum of their ages is more than 43 years.

To find:

The inequality that represents her sons age.

Solution:

Let x years be the Amanda's  son's age.

Amanda's age is one more than five times her sons age.

Amanda's age = (5x+1) years

Sum of their ages is more than 43 years.

$x+(5x+1)>43$

$6x+1>43$

$6x>43-1$

$6x>42$

Divide both sides by 6.

$x>\dfrac{42}{6}$

$x>7$

Therefore, the inequality that represents her son's age is $x>7$.