Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Are these ratios equivalent?\newline55 full-time employees : 77 part-time employees\newline1818 full-time employees : 1818 part-time employees\newlineChoices:\newline(A)yes\newline(B)no

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Equivalent ratios: word problemsright chevron icon

Full solution

Q. Are these ratios equivalent?\newline55 full-time employees : 77 part-time employees\newline1818 full-time employees : 1818 part-time employees\newlineChoices:\newline(A)yes\newline(B)no
  1. Convert to simplest form: Step 11: Convert the first ratio to its simplest form. \newline55 full-time employees : 77 part-time employees remains 5:75:7 since 55 and 77 are prime numbers relative to each other.
  2. Compare simplified ratios: Step 22: Convert the second ratio to its simplest form. 1818 full-time employees : 1818 part-time employees simplifies to 1:11:1 because both numbers are divisible by 1818.
  3. Compare simplified ratios: Step 22: Convert the second ratio to its simplest form. \newline1818 full-time employees : 1818 part-time employees simplifies to 1:11:1 because both numbers are divisible by 1818. Step 33: Compare the simplified ratios.\newlineThe simplified ratios are 5:75:7 and 1:11:1. These ratios are not equivalent because their proportions are different.

More problems from Equivalent ratios: word problems

Question
Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has 79247924 boxes with him. How many more boxes are required?\newline(A)819(A)819\newline(B)412(B)412\newline(C)419(C)419\newline(D)176(D)176
Get tutor helpright-arrow

Posted 3 months ago

Question
A lake near the Arctic Circle is covered by sheet of ice during the cold winter months. When spring arrives, the ice starts to melt.\newlineSS models the ice sheet's thickness (in meters) after tt weeks.\newlineS=−0.25t+4S=-0.25t+4\newlineWhat is the ice sheet's thickness at the beginning of spring?\newlinemetersmeters
Get tutor helpright-arrow

Posted 3 months ago

Question
Melanie practices the piano 14351435 minutes in 55 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 44 weeks?\newlineAnswer: minutes
Get tutor helpright-arrow

Posted 3 months ago

Question
Emily practices the piano 595595 minutes in 55 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 44 weeks?\newlineAnswer: minutes
Get tutor helpright-arrow

Posted 3 months ago

Question
Jayden practices the piano 896896 minutes in 44 weeks. Assuming he practices the same amount every week, how many minutes would he practice in 55 weeks?\newlineAnswer: minutes
Get tutor helpright-arrow

Posted 3 months ago

Question
Ai Mi practices the piano 10641064 minutes in 44 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 33 weeks?\newlineAnswer: minutes
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{12,20,34} \{12,20,34\} \newline{4,6,11} \{4,6,11\} \newline{10,12,21} \{10,12,21\} \newline{13,18,33} \{13,18,33\}
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{15,26,41} \{15,26,41\} \newline{5,10,16} \{5,10,16\} \newline{13,27,40} \{13,27,40\} \newline{15,27,40} \{15,27,40\}
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{12,19,31} \{12,19,31\} \newline{10,25,37} \{10,25,37\} \newline{10,15,26} \{10,15,26\} \newline{7,21,27} \{7,21,27\}
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{4,14,18} \{4,14,18\} \newline{7,11,19} \{7,11,19\} \newline{4,8,10} \{4,8,10\} \newline{10,24,35} \{10,24,35\}
Get tutor helpright-arrow

Posted 3 months ago

View all (32)