Last weekend, Ann built a toolshed for her grandma. She spent half as much time building the shed on Sunday as she did on Saturday. She also spent 2 hours on Sunday organizing the tools in the shed. She ended up working the same amount of time on both days. Which equation can you use to find h, the number of hours Ann spent building the shed on Saturday? Choices: (A)h + 2 = 1/2h (B)h = 1/2h + 2 How many hours did Ann spend building the shed on Saturday? Simplify any fractions. ____ hours

Question

Last weekend, Ann built a toolshed for her grandma. She spent half as much time building the shed on Sunday as she did on Saturday. She also spent 2 hours on Sunday organizing the tools in the shed. She ended up working the same amount of time on both days. Which equation can you use to find h, the number of hours Ann spent building the shed on Saturday?   Choices: (A)h + 2 = 1/2h (B)h = 1/2h + 2  How many hours did Ann spend building the shed on Saturday? Simplify any fractions.   ____ hours

Bytelearn · Accepted Answer

Denote hours Ann spent: Let's denote the number of hours Ann spent building the shed on Saturday as h. According to the problem, she spent half as much time on Sunday as she did on Saturday. This means that on Sunday, she spent h/2 hours building the shed.Calculate total time on Sunday: Additionally, Ann spent 2 hours on Sunday organizing the tools in the shed. Therefore, the total time spent on Sunday is the time spent building the shed plus the time spent organizing, which is h/2 + 2 hours.Set up equation: The problem states that Ann worked the same amount of time on both days. This means that the time spent on Saturday (h hours) is equal to the total time spent on Sunday (h/2 + 2 hours). We can set up the equation as follows: h = h/2 + 2Solve for h: Now we need to solve the equation for h. To do this, we can multiply both sides of the equation by 2 to eliminate the fraction: 2h = h + 4Final answer: Next, we subtract h from both sides to isolate h on one side of the equation: 2h - h = h + 4 - h h = 4We have found that Ann spent 4 hours building the shed on Saturday. This is the final answer to the problem.

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