Solved on Jan 08, 2024

Find the number of erasers bought given the total cost of $9 and the cost of each eraser as$ 2.

STEP 1

Assumptions
1. The cost of the magazine is $3.<br />2. The cost of each eraser is$ 2.
3. The total amount spent is $9.<br />4. Let the number of erasers bought be represented by the variable$ x$.

STEP 2

Define the variable:
Let $x$ represent the number of erasers bought.

STEP 3

Write the equation representing the total cost of the magazine and the erasers.
$Total\, cost = Cost\, of\, magazine + (Cost\, of\, one\, eraser \times Number\, of\, erasers)$

STEP 4

Now, plug in the known values for the cost of the magazine, the cost of one eraser, and the total cost to form the equation.
$9 = 3 + (2 \times x)$

STEP 5

Simplify the equation by distributing and combining like terms.
$9 = 3 + 2x$

STEP 6

Subtract the cost of the magazine from both sides of the equation to isolate the term with the variable $x$ .
$9 - 3 = 2x$

STEP 7

Calculate the left side of the equation.
$6 = 2x$

STEP 8

Divide both sides of the equation by 2 to solve for $x$ .
$\frac{6}{2} = \frac{2x}{2}$

STEP 9

Calculate the value of $x$ .
$x = 3$

STEP 10

Write a sentence to answer the problem.
You bought 3 erasers.

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Find the number of erasers bought given the total cost of $9 and the cost of each eraser as$ 2.

STEP 1

Assumptions
1. The cost of the magazine is $3.<br />2. The cost of each eraser is$ 2.
3. The total amount spent is $9.<br />4. Let the number of erasers bought be represented by the variable$ x$.

STEP 2

Define the variable:
Let $x$ represent the number of erasers bought.

STEP 3

Write the equation representing the total cost of the magazine and the erasers.
$Total\, cost = Cost\, of\, magazine + (Cost\, of\, one\, eraser \times Number\, of\, erasers)$

STEP 4

Now, plug in the known values for the cost of the magazine, the cost of one eraser, and the total cost to form the equation.
$9 = 3 + (2 \times x)$

STEP 5

Simplify the equation by distributing and combining like terms.
$9 = 3 + 2x$

STEP 6

Subtract the cost of the magazine from both sides of the equation to isolate the term with the variable $x$ .
$9 - 3 = 2x$

STEP 7

Calculate the left side of the equation.
$6 = 2x$

STEP 8

Divide both sides of the equation by 2 to solve for $x$ .
$\frac{6}{2} = \frac{2x}{2}$

STEP 9

Calculate the value of $x$ .
$x = 3$

STEP 10

Write a sentence to answer the problem.
You bought 3 erasers.

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Find the number of erasers bought given the total cost of 9andthecostofeacheraseras9 and the cost of each eraser as 9andthecostofeacheraseras2.

STEP 1

STEP 2

Define the variable:Let xxx represent the number of erasers bought.

STEP 3

Write the equation representing the total cost of the magazine and the erasers.Total cost=Cost of magazine+(Cost of one eraser×Number of erasers)Total\, cost = Cost\, of\, magazine + (Cost\, of\, one\, eraser \times Number\, of\, erasers)Totalcost=Costofmagazine+(Costofoneeraser×Numberoferasers)

STEP 4

Now, plug in the known values for the cost of the magazine, the cost of one eraser, and the total cost to form the equation.9=3+(2×x)9 = 3 + (2 \times x)9=3+(2×x)

STEP 5

Simplify the equation by distributing and combining like terms.9=3+2x9 = 3 + 2x9=3+2x

STEP 6

Subtract the cost of the magazine from both sides of the equation to isolate the term with the variable xxx.9−3=2x9 - 3 = 2x9−3=2x

STEP 7

Calculate the left side of the equation.6=2x6 = 2x6=2x

STEP 8

Divide both sides of the equation by 2 to solve for xxx.62=2x2\frac{6}{2} = \frac{2x}{2}26​=22x​

STEP 9

Calculate the value of xxx.x=3x = 3x=3

STEP 10

Write a sentence to answer the problem.You bought 3 erasers.

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

Find the number of erasers bought given the total cost of $9 and the cost of each eraser as$ 2.

Define the variable:
Let $x$ represent the number of erasers bought.

Write the equation representing the total cost of the magazine and the erasers.
$Total\, cost = Cost\, of\, magazine + (Cost\, of\, one\, eraser \times Number\, of\, erasers)$

Now, plug in the known values for the cost of the magazine, the cost of one eraser, and the total cost to form the equation.
$9 = 3 + (2 \times x)$

Simplify the equation by distributing and combining like terms.
$9 = 3 + 2x$

Subtract the cost of the magazine from both sides of the equation to isolate the term with the variable $x$ .
$9 - 3 = 2x$

Calculate the left side of the equation.
$6 = 2x$

Divide both sides of the equation by 2 to solve for $x$ .
$\frac{6}{2} = \frac{2x}{2}$

Calculate the value of $x$ .
$x = 3$

Write a sentence to answer the problem.
You bought 3 erasers.