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Two Step Two Step Equation Equation
PercentagesPercentages3-4-93-4-9
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Adding and SubtractingAdding and Subtracting• Adding -- Tax, Markup
– Original amount + a percent of that amount– An item is marked up 75%– x+0.75x
• Subtracting – Discount, Sale– Original amount - a percent of that amount– An item is discounted 25%– x-0.25x
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Writing a Two Step EquationWriting a Two Step Equation• A $20 sweater would have• 0.05(20)=$1 tax added. • The total would be • 20 + 0.05(20)=$21
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Writing a Two Step EquationWriting a Two Step Equation• In a state with 6% sales tax an item that
costs y dollars at the check out stand would have 0.06y tax added.
• The total required would be y+0.06y. • If the total at the check out was $15
• the equation would be y+.06y=15. • Combine like terms and solve for y yields
$14.15
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Writing a Two Step EquationWriting a Two Step Equation• An item that originally costs x dollars
and is 20% off would have 20% of x subtracted for a sale price of .
• x-(0.20)x• If the result is a sale price of $51 the
original price can be found by solving the equation.
• x-(0.20)x = 51• x=$63.75