Pritchard Todd
06/29/2023 · Senior High School

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? \( h+2=\frac{1}{2} h \) How many hours did Ann spend building the shed on Saturday? Simplify any fractions. Submit hours

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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 building the shed on Sunday, which would be \( \frac{1}{2}h \). Additionally, she spent 2 hours organizing the tools on Sunday. The total time she spent on Sunday can be expressed as: \[ \text{Time on Sunday} = \frac{1}{2}h + 2 \] Since the problem states that she worked the same amount of time on both days, we can set up the equation: \[ h = \frac{1}{2}h + 2 \] Now, let's solve for \( h \): 1. Subtract \( \frac{1}{2}h \) from both sides: \[ h - \frac{1}{2}h = 2 \] This simplifies to: \[ \frac{1}{2}h = 2 \] 2. Multiply both sides by 2 to solve for \( h \): \[ h = 4 \] Thus, Ann spent **4 hours** building the shed on Saturday.

Quick Answer

Ann spent 4 hours building the shed on Saturday.
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