Decimals, Fractions, and Percent
Write the equation (y =kx)
Find the quantity
Find the percent or initial quantity
Applications
100

Convert to percent:  1/4 

25%

100

30% increase

y=1.3x

100

75% of the students in Jesse’s class are 60 inches or taller. If there are 20 students in her class, how many students are 60 inches or taller? Solve with an equation.

Part=20(0.75)

Part=20 (0.75)

15 students

100

At a playoff basketball game, there were 370 fans cheering for school A and 555 fans cheering for school B. Express the number of fans cheering for school B as a percent of the number of fans cheering for school A.

Part=Whole%

555=370X

X=555/370

150%

100
  1. The sales tax rate in Louisiana is 6.5%. This means customers pay 6.5% tax on every item purchased within Louisiana. 


  1. Which equation represents the amount a customer pays, p, in dollars, after the 6.5% sales tax if the original cost of the item is  c  dollars?

P = 1.065 C

200

Convert to percent: 1.45

145%

200

90% decrease

y=0.1x

200

Bobbie wants to leave a tip for her waitress equal to 15% of her bill. Bobbie’s bill for her lunch is $18. How much money represents 15% of the bill?

Tip= 18(0.15)

$2.7

200

An item that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.

decrease=$12

12= 70(%)

x= 12/70=6/35

16.7%

200

The cost of a New York Yankee baseball cap is $24.00. The local sporting goods store sells it for $30.00. Find the markup.

25%

300

Convert to percent: 0.045

4.5%

300

78% increase

y=1.78x

300

A bakery used 25% more butter this month than last month. If the bakery used 240 kilograms of butter last month, how much did it use this month?

Final quantity= Initial quantity (%)

Final quantity= 240 (1.25)

300 kilograms

300

A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year. Use the equation.

16 was the increase increase

16= 80 (%)

16/80=1/5= 20%

300

The odometer in Mr. Washington’s car does not work correctly. The odometer recorded 13.2 miles for his last trip to the hardware store, but he knows that the actual distance traveled is 15 miles. What is the percent error?

|13.2-15|/|15|= |1.8/15| =0.12

12%

400

Convert to decimal: 3/8

0.375

400

4% decrease

y=0.96x

400

Last week, the price of oranges at the farmer's market was $1.75 per pound. This week, the price has decreased by 20%. What is the price of oranges this week?   Use the equation to get this week's price.

final price= initial price (0.8)

final price= 1.75(0.80)

$1.40

400

Loren must obtain a minimum number of signatures on a petition before it can be submitted. She was able to obtain 672 signatures, which is 40% more than she needs. How many signatures does she need?

Final quantity= Original quantity (%)

672=x (1.40)

672/1.40= 480

480 signatures

400

An item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price, including tax (tax is added after the discount)?

$43.20

50(0.8)=40

40(1.08)=$43.20

500

Convert to fraction and simplify: 365%

 3  13/20

500

250% increase

y=3.5x

500

A juice box has 20% more juice in its new packaging. The original packaging held 12 fluid ounces. How much juice does the new packaging hold? Use the equation to find the capacity of the new packaging. 

new packaging= original packaging (1.20)

New packaging= 12 (1.20)

14.4 fluid ounces

500

The price of a tent was decreased by 15% and sold for $76.49. What was the original price of the tent in dollars? Round to hundredths.

76.49= Original price (0.85)

Original price=76.49/0.85

$89.99

500

Mr. Rodriguez invests $2,000 in a savings plan. The savings account pays an annual interest rate of 5.75%. How much will Mr. Rodriguez earn if he leaves his money in the savings plan for 10 years? What is the total final investment including interests?

Total interests= 2000 (0.0575) (10 years)


Total interest $1,150.00

Total investment with interests gained $3,150.00


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