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:

There number are in the ratio of 4:5:6. If the sum of the largest and the smallest equals the third and 55, find the number.

There number are in the ratio of 4:5:6 4: 5: 6 . If the sum of the largest and the smallest equals the third and 5555, find the number.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Write an equivalent ratioright chevron icon

Full solution

Q. There number are in the ratio of 4:5:6 4: 5: 6 . If the sum of the largest and the smallest equals the third and 5555, find the number.
  1. Define Numbers: Step 11: Define the numbers based on the given ratio.\newlineLet the numbers be 4x4x, 5x5x, and 6x6x respectively.
  2. Set Up Equation: Step 22: Set up the equation based on the problem statement.\newlineAccording to the problem, 4x+6x=5x+554x + 6x = 5x + 55.
  3. Simplify and Solve: Step 33: Simplify and solve the equation.\newline10x=5x+5510x = 5x + 55\newline5x=555x = 55\newlinex=11x = 11

More problems from Write an equivalent ratio

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 8 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 8 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 9 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 9 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 9 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 8 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 8 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 8 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 9 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 8 months ago

View all (13)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant