QuestionAnn spent half as much time building a shed on Sunday as Saturday and 2 hours organizing tools. Find $h$ , hours on Saturday.
Which equation to solve for $h$ ? $h=\frac{1}{2} h+2$ $h+2=\frac{1}{2} h$
How many hours did Ann spend building on Saturday? Simplify any fractions. hours

Studdy Solution

STEP 1

Assumptions1. Ann spent half as much time building the shed on Sunday as she did on Saturday. . Ann spent an additional hours on Sunday organizing the tools.
3. Ann worked the same amount of time on both days.

STEP 2

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 is $\frac{1}{2}h$ . Additionally, she spent2 hours organizing the tools on Sunday.

STEP 3

Since Ann worked the same amount of time on both days, we can set up the following equation $h = \frac{1}{2}h +2$ This equation represents the fact that the time Ann spent on Saturday (h) is equal to the time she spent on Sunday (which is half the time she spent on Saturday plus2 hours).

STEP 4

Now, we need to solve this equation for $h$ . To do this, we first need to get rid of the fraction by multiplying every term by2.
$2h = h +4$

STEP 5

Next, we subtract $h$ from both sides of the equation to isolate $h$ on one side.
$2h - h =4$

STEP 6

implify the equation to find the value of $h$ .
$h =4$ So, Ann spent4 hours building the shed on Saturday.

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QuestionAnn spent half as much time building a shed on Sunday as Saturday and 2 hours organizing tools. Find $h$ , hours on Saturday.
Which equation to solve for $h$ ? $h=\frac{1}{2} h+2$ $h+2=\frac{1}{2} h$
How many hours did Ann spend building on Saturday? Simplify any fractions. hours

Studdy Solution

STEP 1

Assumptions1. Ann spent half as much time building the shed on Sunday as she did on Saturday. . Ann spent an additional hours on Sunday organizing the tools.
3. Ann worked the same amount of time on both days.

STEP 2

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 is $\frac{1}{2}h$ . Additionally, she spent2 hours organizing the tools on Sunday.

STEP 3

Since Ann worked the same amount of time on both days, we can set up the following equation $h = \frac{1}{2}h +2$ This equation represents the fact that the time Ann spent on Saturday (h) is equal to the time she spent on Sunday (which is half the time she spent on Saturday plus2 hours).

STEP 4

Now, we need to solve this equation for $h$ . To do this, we first need to get rid of the fraction by multiplying every term by2.
$2h = h +4$

STEP 5

Next, we subtract $h$ from both sides of the equation to isolate $h$ on one side.
$2h - h =4$

STEP 6

implify the equation to find the value of $h$ .
$h =4$ So, Ann spent4 hours building the shed on Saturday.

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Studdy Solution

STEP 1

Assumptions1. Ann spent half as much time building the shed on Sunday as she did on Saturday. . Ann spent an additional hours on Sunday organizing the tools.3. Ann worked the same amount of time on both days.

STEP 2

Let's denote the number of hours Ann spent building the shed on Saturday as hhh. According to the problem, she spent half as much time building the shed on Sunday, which is 12h\frac{1}{2}h21​h. Additionally, she spent2 hours organizing the tools on Sunday.

STEP 3

STEP 4

Now, we need to solve this equation for hhh. To do this, we first need to get rid of the fraction by multiplying every term by2.2h=h+42h = h +42h=h+4

STEP 5

Next, we subtract hhh from both sides of the equation to isolate hhh on one side.2h−h=42h - h =42h−h=4

STEP 6

implify the equation to find the value of hhh.h=4h =4h=4So, Ann spent4 hours building the shed on Saturday.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. Ann spent half as much time building the shed on Sunday as she did on Saturday. . Ann spent an additional hours on Sunday organizing the tools.
3. Ann worked the same amount of time on both days.

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 is $\frac{1}{2}h$ . Additionally, she spent2 hours organizing the tools on Sunday.

Now, we need to solve this equation for $h$ . To do this, we first need to get rid of the fraction by multiplying every term by2.
$2h = h +4$

Next, we subtract $h$ from both sides of the equation to isolate $h$ on one side.
$2h - h =4$

implify the equation to find the value of $h$ .
$h =4$ So, Ann spent4 hours building the shed on Saturday.