Question

Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression represents the total amount of money Mike earned for both weeks? *

Answer 1

The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

Solution:

Given that, Mike earned x dollars the first week of his new job

He earned 5% more the second week than the first week

To find: Total amount earned in both weeks

From given,

Amount earned in first week = "x" dollars

Amount earned in second week = 5 % more than first week

Therefore,

Amount earned in second week = x + 5 % of x

$\rightarrow x + 5 \% \times x\\\\\rightarrow x + \frac{5}{100} \times x\\\\\rightarrow x + 0.05x = 1.05x$

Thus amount earned in second week = 1.05x dollars

The total amount earned in both weeks:

Total amount = Amount earned in first week + Amount earned in second week

$Total\ Amount = x + 1.05x = 2.05x$

Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars