Given:
Time has a total of $28 after spending half of his weekly earnings on a video game and earning $10 additional dollars for mowing the lawn.
To find:
Weekly earnings at his part time job.
Solution:
Let x be the weekly earning.
He spend half of his weekly earning, i.e., [tex]\dfrac{x}{2}[/tex]
He earns $10 additional dollars for mowing the lawn.
According to the question,
[tex]\dfrac{x}{2}+10=28[/tex]
[tex]\dfrac{x}{2}=28-10[/tex]
[tex]\dfrac{x}{2}=18[/tex]
Multiply both sides by 2.
[tex]x=36[/tex]
Therefore, his weekly earnings is $36.
