IM Grade 7 Unit 4 Lessons 4-12: Percentages

Find the % of a given number

100

Find 25% of 40.

10

200

Find 84% of 22.

18.48

300

Find 140% of 65.

91

400

Find 2.8% of 2600.

72.8

500

Find 107.25% of 23.99.  

Round your final answer to the hundredths place (two values after the decimal).

25.73

Percent Increase/Decrease

100

Joe walked 2.8 miles.  Mark walked 40% less than Joe walked.  How far did Mark walk?

1.5 miles

200

Joe is 5.9 feet tall.  Mark is 15% taller than Joe.  How tall is Mark?

6.785 feet tall

300

Last week, the price of oranges was $1.75 per pound.  This week, the price has decreased by 24%.  What is the price of oranges this week?

$1.33 per pound

400

The restaurant used 15% less to-go boxes this month than last month.  Last month, 352 to-go boxes were used.  How many were used this month?  (Round to the nearest whole box.)

299 boxes

500

Next week, the price of gas will be 2.8% higher than the price this week.  The price of gas this week is $2.31 per gallon.  What will the price be next week?

(Round to the nearest whole cent.)

$2.37

Calculating Percent Expressions and Equations

100

Everything at Menards is on sale with an 11% discount.  Write an expression that would calculate the cost of an item that costs x dollars.

x - 0.11x     or     0.89x

200

Taylor played his video game for 30% more minutes than Roman played his video game.  Write an equation that represents this situation.  Use t for the minutes Taylor played and r for the number of minutes Roman played.

t = r + 0.3r

or

t = 1.3r

300

The water level of the lake decreased by 16% during a dry spell.  Write an expression that would calculate the water level of the lake, if the original water level was x meters.

x - 0.16x

or

0.84x

400

Sam took 75% more time than Mollie to solve a puzzle.  Write an expression that would calculate Sam's time if Mollie's time was x seconds.

x + 0.75x

1.75x

500

Bill earns 4.8% commission on every vehicle sale that he makes.  Write an expression that would calculate the amount of commission he would make on a vehicle that costs x dollars.

0.048x

Tax, Discount, Commission, Mark up

100

The book store marks up the price of books by 45%.  If the wholesale cost of a book was $12.50, what is the retail price of the book?

(Round to the nearest whole cent.)

$18.13

200

The items that I took up to the register added up to $78.10.  If the sales tax rate is 5.5%, how much am I going to have to pay in tax?

(Round to the nearest whole cent.)

$4.30

300

Everything is on sale for 35% off!  The price tag of the sweater says $42.99.  What will be the discounted price of the sweater?

(Round to the nearest whole cent.)

$27.94

400

Bill earns 4.8% commission on any vehicle sale that he makes.  Today, he sold a vehicle for $33,500.  How much commission will Bill make from that sale?

$1608

500

Jeff is paying for an $87 meal.  He has a coupon for 10%.  Then, a 6.5% sales tax will be applied.  What will be Jeff's final cost for the meal after the coupon and tax?

(Round to the nearest whole cent.)

After coupon: $78.30

Amount of tax: $5.09

Final cost: $83.39

Find the initial amount or %

100

52 is what percent 65?

80%

200

The subtotal of the receipt was $35.20.  The sales tax was $2.46.  What is the sales tax rate in this town?

(Round to the nearest whole percent.)

7%

300

The subtotal of a meal was $22.30.  The sales tax was $1.12.  What is the sales tax rate in this city?

(Round to the nearest whole percent.)

5%

400

Compared to last year, the number of grapes on the vine has increased by 18%.  The number of grapes on the vine this year is 375.  How many grapes were on the vine last year?

(Round to the nearest whole grape.)

318 grapes

500

Compared to last week, the price of corn has decreased by 5%.  The price of corn this week is $3.79.  What was the price last week?

(Round to the nearest whole cent.)

$3.99