Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Find the Sale Price Example 2:Find the Selling Price Example 3:Find the Total Cost Five-Minute Check
Main Idea/Vocabulary Apply percents to find discount, markup, and sales tax. discount markup selling price sales tax
NGSSS MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.
Example 1 Find the Sale Price SHOPPING The regular price for a computer is $1,200. This week, it is on sale for 30% off. What is the sale price? Method 1Find the amount of the discount first. The percent is 30%, and the whole is 1,200. We need to find the amount of the discount, or the part. Let d represent the amount of discount. d = 0.30 ● 1,200Write the percent equation. d = 360 Multiply. Subtract the amount of the discount from the original price to find the sale price. $1,200 – $360 = $840
Example 1 Find the Sale Price Answer: The sale price of the computer is $840. Method 2 Find the percent paid first. If the amount of the discount is 30%, the percent paid is 100% – 30% or 70%. Find 70% of $1,200. Let s represent the sale price. s = 0.70 ● 1,200 Write the percent equation. s = 840 Multiply.
Example 1 CYP A.$50 B.$200 C.$225 D.$230 SHOPPING The regular price for a video game system is $250. This week, it is on sale for 20% off. What is the sale price?
Example 2 CLOTHING The wholesale cost for shirts bought by a sporting goods store is $20 per shirt. The shirts will be marked up 40%. What will be the selling price? Find the Selling Price Method 1Find the amount of the markup first. The whole is $20. The percent is 40%. You need to find the amount of the markup, or the part. Let m represent the amount of the markup. m = 0.40 ● 20Write the percent equation. m = 8Multiply. Add the markup $8 to the store’s cost $20 to find the selling price. $8 + $20 = $28
Example 2 Find the Selling Price Method 2 Find the total percent first. The customer will pay 100% of the store’s cost plus an extra 40% of the cost. Find 100% + 40% or 140% of the store’s cost. Let p represent the price. p = 1.40 ● 20 Write the percent equation. p = 28 Multiply. Answer: The selling price of the shirts is $28.
Example 2 CYP A.$1.69 B.$2.95 C.$3.51 D.$3.95 PETS The wholesale cost for guinea pig treats is $2.60 per box. The treats will be marked up 35% at the store. What will be the selling price?
Example 3 Find the Total Cost MUSIC A stereo that costs $120 is on sale for 12% off with a sales tax of 6.5%. What is the total cost of the stereo? Step 1 Find the price of the stereo after the discount. Let d represent the total discount. part = percent ● whole d= 0.12 ● 120 Write the percent equation. d= 14.4 Multiply.
Example 3 Find the Total Cost Subtract the discount from the original price to find the sale price. $120 – $14.40 = $ Step 2 Find the amount of the sales tax. Let t represent the sales tax. part = percent ● whole t=0.065 ● Write the percent equation. t 6.86 Multiply.
Example 3 Find the Total Cost Answer: The total cost of the stereo is $ Add the sales tax to the sale price to find the total price. $ $6.86 = $112.46
Example 3 CYP A.$ B.$ C.$ D.$ ENTERTAINMENT A trampoline that costs $200 is on sale for 5% off with a sales tax of 7%. What is the total cost of the trampoline?
A.$87.50 B.$ C.$ D.$ A $350 grill is on sale for 25% off the original price. Find the sale price. Five Minute Check 1
A.$ B.$1, C.$1, D.$1, Find the sale price of a television that is regularly $1,800 and is on sale for 15% off the original price. Five Minute Check 2
A.$19.50 B.$45.50 C.$84.50 D.$95.00 Find the selling price for the book given the percent of markup. book: $65, 30% markup Five Minute Check 3
A.$18.00 B.$ C.$ D.$ Find the selling price for the lamp given the percent of markup. lamp: $120, 15% markup Five Minute Check 4
A.$9.80 B.$18.20 C.$20.20 D.$65.00 Find the amount of discount for a $28 shirt that is on sale for 65% off the original price. Five Minute Check 5