We want to find whether Diana and Sujit received more than $ 82 for cleaning a house. Let's start by calculating the dollar amount of the fee they charge for supplies and how much they received from the homeowner as a tip. We can use the percent equation for this.
part = percent * whole
We are given that Diana and Sujin charge $ 70 for each cleaning job, plus 5 % for supplies. Since one homeowner gave them a 15 % tip, they earned $ 70 plus 5 %+15 %= 20 % in total for the job. Let p represent the dollar amount of the fee for supplies and tip.
p = 20 % * $ 70We need to write the percent as a decimal before we can solve the equation that we created. We can do this by ignoring the percent symbol and moving the decimal point two places to the left.
Therefore, 20 % is equal to 0.20, or 0.2.
p = 20 % * $ 70 [0.3em] ⇓ [0.3em]
p = 0.2 * $ 70
Now we can solve the equation for p. For simplicity, we will ignore the units for now.
We got that p= 14 is a solution to the equation. This means that Diana and Sujit received a total of $ 14 for supplies and tip. Now let's calculate how much money they earned in total for the job by adding this amount of money to $ 70.
$70 + $ 14 = $ 84
Diana and Sujit earned $ 84 in total. This means that they received more than $ 82 for their job.
