Lela is buying spools of yarn for a knitting class. She can buy a 40-yard spool for $15.60 or a 60-yard spool for $19.20. What is the unit price for the 40-yard spool?

0.39 1 y a r d \frac{\text{}0.39}{1\ yard} 1 y a r d 0 . 3 9

3.00 1 y a r d \frac{3.00}{1\ yard} 1 y a r d 3 . 0 0

0.32 1 y a r d \frac{0.32}{1\ yard} 1 y a r d 0 . 3 2

0.33 1 y a r d \frac{0.33}{1\ yard} 1 y a r d 0 . 3 3

Lela is buying spools of yarn for a knitting class. She can buy a 40-yard spool for $15.60 or a 60-yard spool for $19.20. What is the unit price for the 60-yard spool?

0.32 1 y a r d \frac{0.32}{1\ yard} 1 y a r d 0 . 3 2

0.39 1 y a r d \frac{\text{}0.39}{1\ yard} 1 y a r d 0 . 3 9

3.00 1 y a r d \frac{3.00}{1\ yard} 1 y a r d 3 . 0 0

0.33 1 y a r d \frac{0.33}{1\ yard} 1 y a r d 0 . 3 3

Lela is buying spools of yarn for a knitting class. She can buy a 40-yard spool for $15.60 or a 60-yard spool for $19.20. Which is the better buy?

60 yards for $19.20 is $0.32/yard and is a better buy

40 yards for $15.60 is $0.39/yard and is a better buy.

40 yards for $15.60 is $0.30/ yard and is a better buy.

60 yards for $19.20 is $3.00/yard and is a better buy

Raymond is the assistant director of Camp Compass. The camp will have a total of 342 campers. Raymond wants the ratio of campers to counselors to be exactly 7:1. Is it possible? Explain.

No, No whole number of counselors can be used for 342 campers with a ratio of 7:1.

Yes, there could be 48 counselors. 342 to 48 is 7:1.

Yes, there could be 49 counselors: 342 to 49 is 7:1.

What is the unit price per mile for King Charter?

$31/10 miles = $10.00 per mile.

What is the unit price per mile for Capitol Charter?

$19/10 miles = $19.00 per mile.

Which company would you recommend Raymond use as it will save him money?

King Charter as it will cost him $9,548.

Capitol Chart as it will cost him $10,032.

Raymond is arranging catering for the campers. Healthy camper sells 18 boxed lunches for $108. Mountain Meals sells 20 boxed lunches for $118. Which company should Raymond use if he wants to pay the least amount of money for the 342 lunches that he needs? Explain.

Healthy Camper because he could order 342 lunches for $2,052. He would have to order 360 lunches from Mountain Meals since they are sold in groups of 20 and would cost more.

Mountain Meals because 342 lunches costs about $2018 and that is less than #2,052 that Healthy Camper costs.

Topic 5: Ratios and Rates

Authored by Terri Sallee

Mathematics

6th Grade

CCSS covered

Used 27+ times

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27 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?

15 boys to 55 girls

55 boys to 15 girls

40 boys to 15 girls

15 boys to 40 girls

Tags

CCSS.6.RP.A.3A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Last week, Leah worked 25 hours on weekdays and 11 hours on the weekend. Which ratio compares the number of hours Leah worked on weekdays to the total number of hours she worked?

25:11

11:25

25:36

36:25

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The table shows the home state of the 175 high school students who attended a tri-state debate tournament. The ratio of Illinois students to Michigan students was 6:5. How many students were from Michigan?

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The table shows the home state of the 175 high school students who attended a tri-state debate tournament. The ratio of Illinois students to Michigan students was 6:5. How many students were from Indiana?

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A boy's basketball team has a ratio of seniors to juniors that is 7:4.
Part A:
If the team is made up only of juniors and seniors, what is the ratio of seniors to total team members?

$\frac{11}{7}$

$\frac{4}{7}$

$\frac{7}{4}$

$\frac{7}{11}$

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A varsity boys' basketball team has a ratio of seniors to juniors that is 7:4.

The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?

The boys' team has more seniors.

The girls' team has more seniors.

Tags

CCSS.6.RP.A.3A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Complete the ratio table. What should go in the selected box?

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

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Topic 5: Ratios and Rates

The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?

Last week, Leah worked 25 hours on weekdays and 11 hours on the weekend. Which ratio compares the number of hours Leah worked on weekdays to the total number of hours she worked?

The table shows the home state of the 175 high school students who attended a tri-state debate tournament. The ratio of Illinois students to Michigan students was 6:5. How many students were from Michigan?

The table shows the home state of the 175 high school students who attended a tri-state debate tournament. The ratio of Illinois students to Michigan students was 6:5. How many students were from Indiana?

A boy's basketball team has a ratio of seniors to juniors that is 7:4. Part A:If the team is made up only of juniors and seniors, what is the ratio of seniors to total team members?

A varsity boys' basketball team has a ratio of seniors to juniors that is 7:4. The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?

Complete the ratio table. What should go in the selected box?

Complete the ratio table. What should go in the selected box?

Complete the ratio table. What should go in the selected box?

Which graph correctly plots the point (3,4)?

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A boy's basketball team has a ratio of seniors to juniors that is 7:4.
Part A:
If the team is made up only of juniors and seniors, what is the ratio of seniors to total team members?

A varsity boys' basketball team has a ratio of seniors to juniors that is 7:4.

The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?