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Terrence signed up for the Safe Venture driving school. He will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes. When Terrence completes the 26 total hours of instruction, he will take his driver's test.
Which equation can you use to find 
w, the number of weeks the driving classes last?

2(w+10)=26

10 w+2=26

2w+10=26

10(w+2)=26
How many weeks do the driving classes last?

◻ weeks
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Work it out

Terrence signed up for the Safe Venture driving school. He will spend 1010 hours driving with an instructor and will also attend weekly 22-hour classes. When Terrence completes the 2626 total hours of instruction, he will take his driver's test.\newlineWhich equation can you use to find w w , the number of weeks the driving classes last?\newline2(w+10)=26 2(w+10)=26 \newline10w+2=26 10 w+2=26 \newline2w+10=26 2 w+10=26 \newline10(w+2)=26 10(w+2)=26 \newlineHow many weeks do the driving classes last?\newline \square weeks\newlineSubmit\newlineWork it out

Full solution

Q. Terrence signed up for the Safe Venture driving school. He will spend 1010 hours driving with an instructor and will also attend weekly 22-hour classes. When Terrence completes the 2626 total hours of instruction, he will take his driver's test.\newlineWhich equation can you use to find w w , the number of weeks the driving classes last?\newline2(w+10)=26 2(w+10)=26 \newline10w+2=26 10 w+2=26 \newline2w+10=26 2 w+10=26 \newline10(w+2)=26 10(w+2)=26 \newlineHow many weeks do the driving classes last?\newline \square weeks\newlineSubmit\newlineWork it out
  1. Identify Hours and Structure: Identify the total hours and the structure of the classes.\newlineTerrence spends 1010 hours driving with an instructor and attends 22-hour weekly classes. The total instruction time is 2626 hours.
  2. Set Up Equation: Set up the equation to represent the situation.\newlineLet ww be the number of weeks Terrence attends the driving classes. Each week he attends a 22-hour class, so the total hours spent in classes is 2w2w. Adding the 1010 hours with the instructor gives 2w+102w + 10. This total should equal 2626 hours.
  3. Write Equation: Write the equation from the problem description.\newlineThe correct equation that represents the situation is 2w+10=262w + 10 = 26.
  4. Solve for w: Solve the equation for w.\newlineSubtract 1010 from both sides: 2w+1010=26102w + 10 - 10 = 26 - 10,\newlinewhich simplifies to 2w=162w = 16.\newlineDivide both sides by 22: 2w2=162\frac{2w}{2} = \frac{16}{2},\newlinewhich gives w=8w = 8.