Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is $35h+56$ dollars. Which expression represents her gross pay each day?
A. $5h+8$
B. $8h+5$
C. $7h+11.2$
D. $11.2h+7$
Answer (2)
Harriet's daily earnings can be calculated by dividing her total gross pay after 7 days, 35 h + 56 , by 7. This simplifies to 5 h + 8 . Therefore, the correct option is A) 5 h + 8 .
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Let x be the amount Harriet earns each day. Her total earnings for 7 days is 7 x .
Set up the equation 7 x = 35 h + 56 .
Divide both sides by 7 to solve for x : x = 7 35 h + 56 .
Simplify the expression to find her daily earnings: x = 5 h + 8 . The answer is 5 h + 8 .
Explanation
Understanding the Problem We are given that Harriet earns the same amount of money each day, and her total earnings for 7 days is 35 h + 56 dollars. We need to find an expression that represents her daily earnings.
Setting up the Equation Let x be the amount Harriet earns each day. Since she works for 7 days, her total earnings can be represented as 7 x . We are given that this total is equal to 35 h + 56 . Therefore, we can write the equation: 7 x = 35 h + 56
Isolating the Variable To find the amount she earns each day, we need to solve for x . We can do this by dividing both sides of the equation by 7: x = 7 35 h + 56
Simplifying the Expression Now, we simplify the expression by dividing each term in the numerator by 7: x = 7 35 h + 7 56 x = 5 h + 8
Final Answer Therefore, the expression that represents Harriet's gross pay each day is 5 h + 8 dollars.
Examples
Understanding how to calculate daily earnings based on a weekly total is useful in many real-life scenarios. For example, if you are managing a small business and need to determine the daily revenue target to meet a weekly goal, you can use this method. If the weekly revenue goal is represented by an expression, such as 35 h + 56 , you can divide this expression by 7 to find the required daily revenue. This helps in setting realistic daily targets and tracking progress towards the weekly goal. The same logic applies to personal budgeting, where you might want to determine how much you can spend each day based on your monthly income.
