Margo earns $9.00 per hour, plus an additional $27.00 per week for uniform cleaning expenses. Which equation can be used to determine the number of hours Margo must work to earn $342.00 per week and includes the correct answer?
Answers
Answer:
9x + 27 = 342 (The equation)
35 hours a week (The correct answer)
Step-by-step explanation:
Step 1: You want to get the equation before you can solve it for the correct answer. The best step is to realize that Margo earns $9.00 an hour. The problem doesn't tell you how many hours Margo works for, so you would want to write 9x The $9 Margo earns and the 'x' represents the unknown hours Margo works.
Step 2: You know that Margo also earns $27.00 for uniform cleaning expenses. You would add that to your 9x so you would now have: 9x + 27
Step 3: You also know that Margo has a set goal of earning $342.00 per week. That is your end result.
-Your equation would now be: 9x + 27 = 342
Step 4: You are solving now to find x. In other words, you are finding how many hours Margo has to work so she will get $342.00 a week. To do this, you want to subtract 27 from both sides of the equal sign, so from both 9x + 27 and 342. You should get 315 where the 342 was.
342
- 27
315
To show this with the equation:
Equal sign ↓
9x + 27 = 342
-27 - 27
315
You should now have a equation like this:
9x = 315
Step 5: Your next step is now to divide. You want to divide 9 from both sides just like you wanted to subtract 27 from both sides of the equal sign. You want to divide 9 from 9x and from 315. Here is what this would look like:
9x = 315
÷9 ÷ 9
x = 35
So, with this last equation of x = 35, it actually tells you the answer right here. 35 would be the answer. Because we were trying to find the value for x, and x = 35, well, x would be 35.
Here is a rerun of all the steps in equation form:
9 ($9 per hour Margo earns)
x (An unknown value representing the hours needed to be worked)
27 (The money Margo gets paid weekly for uniform cleaning)
342 (The goal in dollars that Margo wants to earn weekly including the uniform cleaning money)
9x + 27 = 342
-27 - 27
9x = 315
÷9 ÷ 9
x = 35
x = 35
-I truly hope this helps! Good luck! Have a wonderful day/afternoon/night!
Step-by-step explanation:
no. of hours Margo works =
(342 - 27)/9 = 315/9 = 35