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=21h+2(B) h+2=21hHow many hours did Ann spend building the shed on Saturday?Simplify any fractions.____ hours
Q. 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=21h+2(B) h+2=21hHow many hours did Ann spend building the shed on Saturday?Simplify any fractions.____ hours
Denote hours 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 she spent 2h hours building the shed on Sunday.
Calculate total time: Additionally, Ann spent 2 hours on Sunday organizing the tools in the shed. So, the total time spent on Sunday is the time spent building the shed plus the time spent organizing, which is 2h+2 hours.
Set up equation: The problem states that Ann worked the same amount of time on both days. This means the time spent on Saturday (h hours) is equal to the total time spent on Sunday (h/2+2 hours). Therefore, the equation that represents this relationship is:h=2h+2
Isolate variable: To solve for h, we need to isolate h on one side of the equation. We can do this by multiplying both sides of the equation by 2 to eliminate the fraction:2h=h+4
Solve for h: Now, we subtract h from both sides to get h by itself:2h−h=h+4−hh=4
Final answer: We have found that Ann spent 4 hours building the shed on Saturday. This is the final answer to the problem.
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