Solved on Feb 26, 2024

Kira made 6 hats, 3 times as many as Henry. Find the number of hats Henry made, $n$ , using the equation $6 = 3n$ .

STEP 1

Assumptions
1. Kira made 6 hats.
2. Kira made 3 times as many hats as Henry.
3. Let $n$ be the number of hats that Henry made.
4. We need to write an equation that relates the number of hats Kira and Henry made using the numbers 6, 3, and $n$ .

STEP 2

According to the given information, the number of hats Kira made is three times the number of hats Henry made. We can express this relationship as an equation.
$Kira's\, hats = 3 \times Henry's\, hats$

STEP 3

We know that Kira made 6 hats and we are using $n$ to represent the number of hats Henry made. We can substitute these values into the equation from STEP_2.
$6 = 3 \times n$

STEP 4

This equation is the answer to part (a) of the problem. It relates the number of hats that Kira and Henry made using the numbers 6, 3, and $n$ .
$6 = 3n$

STEP 5

To find the value of $n$ , we need to solve the equation for $n$ . This is done by dividing both sides of the equation by 3.
$\frac{6}{3} = \frac{3n}{3}$

STEP 6

Simplify both sides of the equation to find the value of $n$ .
$2 = n$

STEP 7

We have found the value of $n$ , which represents the number of hats that Henry made.
$n = 2$
Kira made 6 hats, and Henry made 2 hats.

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Kira made 6 hats, 3 times as many as Henry. Find the number of hats Henry made, $n$ , using the equation $6 = 3n$ .

STEP 1

Assumptions
1. Kira made 6 hats.
2. Kira made 3 times as many hats as Henry.
3. Let $n$ be the number of hats that Henry made.
4. We need to write an equation that relates the number of hats Kira and Henry made using the numbers 6, 3, and $n$ .

STEP 2

According to the given information, the number of hats Kira made is three times the number of hats Henry made. We can express this relationship as an equation.
$Kira's\, hats = 3 \times Henry's\, hats$

STEP 3

We know that Kira made 6 hats and we are using $n$ to represent the number of hats Henry made. We can substitute these values into the equation from STEP_2.
$6 = 3 \times n$

STEP 4

This equation is the answer to part (a) of the problem. It relates the number of hats that Kira and Henry made using the numbers 6, 3, and $n$ .
$6 = 3n$

STEP 5

To find the value of $n$ , we need to solve the equation for $n$ . This is done by dividing both sides of the equation by 3.
$\frac{6}{3} = \frac{3n}{3}$

STEP 6

Simplify both sides of the equation to find the value of $n$ .
$2 = n$

STEP 7

We have found the value of $n$ , which represents the number of hats that Henry made.
$n = 2$
Kira made 6 hats, and Henry made 2 hats.

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Kira made 6 hats, 3 times as many as Henry. Find the number of hats Henry made, nnn, using the equation 6=3n6 = 3n6=3n.

STEP 1

Assumptions1. Kira made 6 hats.2. Kira made 3 times as many hats as Henry.3. Let nnn be the number of hats that Henry made.4. We need to write an equation that relates the number of hats Kira and Henry made using the numbers 6, 3, and nnn.

STEP 2

According to the given information, the number of hats Kira made is three times the number of hats Henry made. We can express this relationship as an equation.Kira′s hats=3×Henry′s hatsKira's\, hats = 3 \times Henry's\, hatsKira′shats=3×Henry′shats

STEP 3

We know that Kira made 6 hats and we are using nnn to represent the number of hats Henry made. We can substitute these values into the equation from STEP_2.6=3×n6 = 3 \times n6=3×n

STEP 4

This equation is the answer to part (a) of the problem. It relates the number of hats that Kira and Henry made using the numbers 6, 3, and nnn.6=3n6 = 3n6=3n

STEP 5

To find the value of nnn, we need to solve the equation for nnn. This is done by dividing both sides of the equation by 3.63=3n3\frac{6}{3} = \frac{3n}{3}36​=33n​

STEP 6

Simplify both sides of the equation to find the value of nnn.2=n2 = n2=n

STEP 7

We have found the value of nnn, which represents the number of hats that Henry made.n=2n = 2n=2Kira made 6 hats, and Henry made 2 hats.

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

Kira made 6 hats, 3 times as many as Henry. Find the number of hats Henry made, $n$ , using the equation $6 = 3n$ .

Assumptions
1. Kira made 6 hats.
2. Kira made 3 times as many hats as Henry.
3. Let $n$ be the number of hats that Henry made.
4. We need to write an equation that relates the number of hats Kira and Henry made using the numbers 6, 3, and $n$ .

According to the given information, the number of hats Kira made is three times the number of hats Henry made. We can express this relationship as an equation.
$Kira's\, hats = 3 \times Henry's\, hats$

We know that Kira made 6 hats and we are using $n$ to represent the number of hats Henry made. We can substitute these values into the equation from STEP_2.
$6 = 3 \times n$

This equation is the answer to part (a) of the problem. It relates the number of hats that Kira and Henry made using the numbers 6, 3, and $n$ .
$6 = 3n$

To find the value of $n$ , we need to solve the equation for $n$ . This is done by dividing both sides of the equation by 3.
$\frac{6}{3} = \frac{3n}{3}$

Simplify both sides of the equation to find the value of $n$ .
$2 = n$

We have found the value of $n$ , which represents the number of hats that Henry made.
$n = 2$
Kira made 6 hats, and Henry made 2 hats.