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Question Find the number of erasers bought given the total cost of 9andthecostofeacheraseras9 and the cost of each eraser as 2.

Studdy Solution

STEP 1

Assumptions
1. The cost of the magazine is 3.<br/>2.Thecostofeacheraseris3.<br />2. The cost of each eraser is 2.
3. The total amount spent is 9.<br/>4.Letthenumberoferasersboughtberepresentedbythevariable9.<br />4. Let the number of erasers bought be represented by the variable x$.

STEP 2

Define the variable:
Let xx 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)

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)

STEP 5

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

STEP 7

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

STEP 8

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

STEP 9

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

STEP 10

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

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