*This means that in any percent problem, there are three basic values to be concerned about: the percent, the base, and the resulting amount.A percentage problem may ask us to find any one of these three values.', CAPTION, 'Translate into an equation.', CAPTIONSIZE, 2, CGCOLOR, '#006600', PADX, 5, 5, PADY, 5, 5, SHADOW, 0, SHADOWCOLOR, '#c0c0c0', BUBBLECLOSE, STICKY, CLOSECLICK, CLOSETEXT, '', ABOVE, RIGHT, BORDER, 1, BGCOLOR, '#006600', FGCOLOR, '#dcffdc', WIDTH, 400, TEXTSIZE, 2, TEXTCOLOR, '#000000', CAPCOLOR, '#FFFFFF');"', CAPTION, 'Solving the equation', CAPTIONSIZE, 2, CGCOLOR, '#006600', PADX, 5, 5, PADY, 5, 5, SHADOW, 0, SHADOWCOLOR, '#c0c0c0', BUBBLECLOSE, STICKY, CLOSECLICK, CLOSETEXT, '', ABOVE, RIGHT, BORDER, 1, BGCOLOR, '#006600', FGCOLOR, '#dcffdc', WIDTH, 400, TEXTSIZE, 2, TEXTCOLOR, '#000000', CAPCOLOR, '#FFFFFF');" onfocus="return overlib('', CAPTION, 'Solving the equation', CAPTIONSIZE, 2, CGCOLOR, '#006600', PADX, 5, 5, PADY, 5, 5, SHADOW, 0, SHADOWCOLOR, '#c0c0c0', BUBBLECLOSE, STICKY, CLOSECLICK, CLOSETEXT, '', ABOVE, RIGHT, BORDER, 1, BGCOLOR, '#006600', FGCOLOR, '#dcffdc', WIDTH, 400, TEXTSIZE, 2, TEXTCOLOR, '#000000', CAPCOLOR, '#FFFFFF');"solve At this point, we have several choices for changing the result to a percent.*

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.

||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 .00Next, 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

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