If sales tax on a $36 pair of shoes is $1.26, find the sales tax on a $ 250 \$250 pair of shoes.

For this problem, we know that for a $36 pair of shoes, we would pay $1.26 in sales tax. And we want to know how much sales tax we would pay on a $250 pair of shoes. This is kind of a two step problem. Where first we need to find the sales tax as a percent for this first pair of shoes. And then we can apply that percent to find the sales tax amount for our more expensive pair of shoes. So first let's identify what we know and what we don't know. We know our partial amount of $1.26 that we pay in sales tax. And we know our whole amount of $36 for the whole pair of shoes. So we can set up an equation to solve for the sales tax as a percent by writing $1.26 is equal to our unknown percent times our whole amount of $36 Solving for x, we divide both sides by 36 and we get that x is equal to 0.035. So that tells us that our sales tax as a percent is 3.5%. And now we can apply that to our $250 pair of shoes by taking our new whole amount of $250 and multiplying it by our sales tax as a decimal and getting our partial amount of $8.75. So, for a $250 pair of shoes, we would pay $8.75 in sales tax.

3. Solving Word Problems

Percent Problem Solving

Beginning Algebra

3. Solving Word Problems

Percent Problem Solving

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Multiple Choice

If sales tax on a \$36 pair of shoes is \$1.26, find the sales tax on a $dollar sign 250$ pair of shoes.

$dollar sign 8.75$

$dollar sign 3.15$

$dollar sign 1.26$

$dollar sign 7.49$

Verified step by step guidance

First, identify the sales tax rate by dividing the sales tax amount by the price of the shoes. Use the formula: $\text{Sales Tax Rate} = \frac{\text{Sales Tax}}{\text{Price}}$.

Substitute the known values into the formula: $\text{Sales Tax Rate} = \frac{1.26}{36}$.

Calculate the sales tax rate (you can leave it as a fraction or decimal for now).

Next, use the sales tax rate to find the sales tax on the \$250 pair of shoes by multiplying the rate by 250: $\text{Sales Tax on } 250 = \text{Sales Tax Rate} \times 250$.

Perform the multiplication to find the sales tax amount on the \$250 shoes (again, you can leave the answer in terms of the rate times 250 without final calculation).

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Struggling with Beginning Algebra?

If sales tax on a \$36 pair of shoes is \$1.26, find the sales tax on a $250\$250 pair of shoes.

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If sales tax on a \$36 pair of shoes is \$1.26, find the sales tax on a $dollar sign 250$ pair of shoes.