You would first make an equation to show their individual price per hour multiplied by hours worked then added together to equal total cost. let X be mechanic 1 and Y be mechanic 2
10x + 5y = 1225
the second equation will use their price per hour added together to equal combined cost per hour
x + y = 180
you would solve by substitution. to do so, isolate either x or y in the second equation. for convenience, I will isolate x
x = 180 - y
plug in (180 - y) for x in the first equation
10(180-y) + 5y = 1225
1800 - 10y + 5y = 1225
-5y = -578
y = 115.6
this means that the second mechanic charges $115.60 per hour
to find the price per hour for the first mechanic, plug in (115.6) for y in the second equation
Answer: Approximately 146 minutes (or if you need the simplified version the answer is 2 hours and 26 minutes). Step-by-step explanation:
Step 1. Two classes of 21 students. To calculate that you would multiply 21 by 2.
21*2=42
Step 2. So now we know you need 42 individual pictures. If they each take 3 minutes to take you need to multiply 42 by 3.
42*3=126. So now you know it’ll take 126 minutes to take all the individual pictures.
Step 3. Now, there are 2 classes of people and it takes 10 minutes to take each class picture. So do calculate that you need to multiply 10 by 2.
10*2=20. So it’ll take 20 minutes to take both class pictures.
Step 4. Now we know it’ll take 126 minutes to take all the individual photos and 20 minutes to take the class photos. Now to calculate the total amount of time it’ll take to take all the photos you need to add 20 to 126. 126+20=146. So, it’ll take 146 minutes to take all the photos.
Step 5. (You can skip this step if no simplification is needed in your problem) So, we all know there is 60 minutes in an hour so we’ll divide 146 by 60.
146/60=2.43. So, now we know it’ll take 2.43 hours to take all the photos. 2.43 hours is 2 hours and 26 minutes. I hope this helps!
