Unit Rates and Percent Review

Lawrence's car used 15 gallons of gas to travel 300 miles. How many miles did his car travel per gallon of gas?

• 20 gallons per mile

• 20 mpg

• 315 mpg

• 0.05 mpg

Answer explanation

Find the UNIT RATE by dividing miles by gallons.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

The diagram shows the percentages of people attending a concert who either knew the band's music or did not know the music.

If the total number of people attending the concert was 85,000, how many people knew the music before going?

• 25,500

• 51,000

• 59,500

• 121,429

Answer explanation

Set up a percent proportion where...

percent = 70

whole = 85,000

part = ?

Tags

CCSS.6.RP.A.3C

Over the summer, Rodney earns $200 delivering newspapers. He delivered papers for 2 hours each day for 20 days. What is his hourly rate?

• $5

• $10

• $9.09

• $40

Answer explanation

2-step problem.

Step 1: 2x20 = 40 total hours.

Step 2: Find unit rate in $ per hour by dividing 200 by 40.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Four bags of rice cost $7.20. At this rate, how much would it cost to buy 7 bags of rice?

• $5.40

• $4.11

• $3.89

• $12.60

Tags

CCSS.6.RP.A.3B

The arena at the Berry Center has 9,025 people attend a graduation ceremony.  This meant that 95% of the seats were occupied.  How many total people could the Berry Center hold?

• 902.5

• 8,574

• 9,025
• 9,500

Answer explanation

Set up a percent proportion where...

part=9,025

whole=?

percent=95

Tags

CCSS.6.RP.A.3C

Last summer, Jake hiked 121 miles in 11 weeks, hiking the same distance each week. Emily hiked 56 miles in 7 weeks, hiking the same distance each week. Which statement correctly compares the number of miles per week they hiked?

• Jake hiked 4 more miles per week than Emily.

• Jake hiked 3 more miles per week than Emily.

• Emily hiked 8 more miles per week than Jake.

• Jake hiked 11 more miles per week than Emily.

Answer explanation

Find the unit rates for both Jake and Emily (divide miles by weeks), then subtract.

Tags

CCSS.6.RP.A.3B

A salesperson at a department store had $150,000 in sales last year, which was 75% of the sales he had this year. Which equation could determine x, the salesperson's total amount of sales, in dollars, for this year?

Answer explanation

Set up a percent proportion where...

part= 150,000

whole=?

percent=75

Tags

CCSS.6.RP.A.3C

A rollercoaster ride is almost over. The ride is slowing down and now traveling 9 yards every 27 seconds. At that rate, how far will the rollercoaster have traveled after 45 seconds?

Answer explanation

2-step problem:

1. Find the unit rate in yards per second (1/3)

2. Multiply unit rate (1/3) by 45 seconds.

Tags

CCSS.6.RP.A.3B

Brookside Elementary and Donnelly Elementary are having a math facts competition. Brookside had 266 students participate. This was 70% of the total population. How many students go to Brookside Elementary?

Answer explanation

Set up a percent proportion where...

part=266

whole=?

percent=70

Tags

CCSS.6.RP.A.3C

275 students attend Donnelly Elementary. The math facts competition hosted 242 of the students. What percent of students competed in the tournament?

Answer explanation

Set up a percent proportion where...

part=242

whole=275

percent=?