# How To Solve A Percent Problem

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The base in this case is the total bill of \$20.00, since this is the value we are taking a percentage of.

We solve for the tip which is the resulting amount.

(percent) × (base) = (amount) (percent) × (bill) = (tip) (15%) × (\$20) = x where x represents the amount of the tip.

Next, we convert the percent to either fraction or decimal form and then multiply: x = (0.15)(20) x = 3 You would tip the server \$3.

We can restate the sales tax portion of the problem as: 6% of the \$30 worth of merchandise is the sales tax.

Next, we compute the tax on the purchase using the Basic Percent Equation.We do not know the amount of sales tax, so we let x represent the amount of sales tax in the equation and solve for x.(percent) × (base) = (amount) (6%) × () = (amount of tax) We compute (0.06)(30) = x 1.80 = x The amount of tax is

Next, we compute the tax on the purchase using the Basic Percent Equation.

We do not know the amount of sales tax, so we let x represent the amount of sales tax in the equation and solve for x.

(percent) × (base) = (amount) (6%) × (\$30) = (amount of tax) We compute (0.06)(30) = x 1.80 = x The amount of tax is \$1.80. It only gives the amount of tax paid on the purchase.

We may also solve the problem in a single equation.

Second Method for the above problem: You live in a city that charges 6% sales tax on all purchases.

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Next, we compute the tax on the purchase using the Basic Percent Equation.We do not know the amount of sales tax, so we let x represent the amount of sales tax in the equation and solve for x.(percent) × (base) = (amount) (6%) × (\$30) = (amount of tax) We compute (0.06)(30) = x 1.80 = x The amount of tax is \$1.80. It only gives the amount of tax paid on the purchase.We may also solve the problem in a single equation.Second Method for the above problem: You live in a city that charges 6% sales tax on all purchases.Example: You live in a city that charges 6% sales tax on all purchases.If you go to a store and purchase \$30 worth of merchandise, what is your total bill?To compute the total bill, we add the amount of tax on to the cost of the merchandise.Since \$30.00 \$1.80 = \$31.80, the total bill is \$31.80.Note that you will pay 100% of the cost plus 6% for sales tax, so you will pay 106% of the cost of the merchandise.We restate the problem as: 106% of the \$30 worth of merchandise is the total cost.

.80. It only gives the amount of tax paid on the purchase.We may also solve the problem in a single equation.Second Method for the above problem: You live in a city that charges 6% sales tax on all purchases.Example: You live in a city that charges 6% sales tax on all purchases.If you go to a store and purchase worth of merchandise, what is your total bill?To compute the total bill, we add the amount of tax on to the cost of the merchandise.Since .00

Next, we compute the tax on the purchase using the Basic Percent Equation.

We do not know the amount of sales tax, so we let x represent the amount of sales tax in the equation and solve for x.

(percent) × (base) = (amount) (6%) × (\$30) = (amount of tax) We compute (0.06)(30) = x 1.80 = x The amount of tax is \$1.80. It only gives the amount of tax paid on the purchase.

We may also solve the problem in a single equation.

Second Method for the above problem: You live in a city that charges 6% sales tax on all purchases.

||

Next, we compute the tax on the purchase using the Basic Percent Equation.We do not know the amount of sales tax, so we let x represent the amount of sales tax in the equation and solve for x.(percent) × (base) = (amount) (6%) × (\$30) = (amount of tax) We compute (0.06)(30) = x 1.80 = x The amount of tax is \$1.80. It only gives the amount of tax paid on the purchase.We may also solve the problem in a single equation.Second Method for the above problem: You live in a city that charges 6% sales tax on all purchases.Example: You live in a city that charges 6% sales tax on all purchases.If you go to a store and purchase \$30 worth of merchandise, what is your total bill?To compute the total bill, we add the amount of tax on to the cost of the merchandise.Since \$30.00 \$1.80 = \$31.80, the total bill is \$31.80.Note that you will pay 100% of the cost plus 6% for sales tax, so you will pay 106% of the cost of the merchandise.We restate the problem as: 106% of the \$30 worth of merchandise is the total cost.

.80 = .80, the total bill is .80.Note that you will pay 100% of the cost plus 6% for sales tax, so you will pay 106% of the cost of the merchandise.We restate the problem as: 106% of the worth of merchandise is the total cost.

## Comments How To Solve A Percent Problem

• ###### How to Solve Percent Problems - dummies

A lot of percent problems turn out to be easy to solve when you give them a little thought. In many cases, just remember the connection between percents and fractions and you’re halfway home Solve simple percent problems Some percents are easy to figure.…

• ###### Solving percent problems video Khan Academy

So what I want to do is first answer this question that they're not even asking us to solve. But first, I want to answer this question. And then we can think about what the percent, the amount, and the base is, because those are just words. Those are just definitions. The important thing is to be able to solve a problem like this.…

• ###### Solving problems with percent Pre-Algebra, Ratios and.

Menu Pre-Algebra / Ratios and percent / Solving problems with percent. To solve problems with percent we use the percent proportion shown in "Proportions and percent".…

• ###### Using the Proportion Method to Solve Percent Problems - Amby

Using the Proportion Method to Solve Percent Problems There are a variety of ways to solve percent problems, many of which can be VERY confusing. Fortunately, the PROPORTION METHOD will work for all three types of questions What number is 75% of 4? 3 is what percent of 4? 75% of what number is 3?…

• ###### Percent word problem 78 is 15% of what number? video.

Is 15% of what number? So there's some unknown number out there, and if we take 15% of that number, we will get 78. So let's just call that unknown number x. And we know that if we take 15% of x, so multiply x by 15%, we will get 78. And now we just literally have to solve for x. Now, 15%…

This video will give teachers a model to help them teach their own students how to solve percentage problems using reading skills. This video shows an easy way to remember the steps for solving.…

• ###### Basic "Percent of" Word Problems -

The format displayed above, "this number is some percent of that number", always holds true for percents. In any given problem, you plug your known values into this equation, and then you solve for whatever is left. Suppose you bought something that was priced at \$6.95, and the total bill was \$7.61. What is the sales tax rate in this city?…

• ###### Percentage Calculator with detailed explanation

This online calculator solves the four basic types of percent problems and percentage increase/decrease problem. The calculator will generate a step-by-step explanation for each type of percentage problem.…