Q67. - Algebra 1

Question

Translate the sentence “five times the sum of m and k is same as seven times k” into an equation.

Step-by-Step Solution

Answer

In equation form, the sentence “five times the sum of m and k is same as seven times k” is written as  $5\left(m+k\right)=7k$.

Step-1. Given information.

Five times the sum of m and k is same as seven times k.

Step-2. General meaning of the given statement.

In the given statement m and k are variables.

Now, “five times the sum of m and k” means m and k are added first and then the sum is multiplied to 5, that is, $m+k$ is multiplied with 5.

This results to $5\times \left(m+k\right)$. This can also be written as $5\left(m+k\right)$.

Step-3. General meaning of same in an expression.

Generally, while writing an equation same is treated as equal which means same or equal value. The symbolic representation is “=”.

So, five times the sum of m and k is same as seven times k implies $5\left(m+k\right)$ is equal to seven-time k.

In equation form $5\left(m+k\right)=7k$.

Hence in equation form, the sentence “five times the sum of m and k is same as seven times k” is written as $5\left(m+k\right)=7k$.