The classroom

The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Determine the width of the classroom.

Correct answer:

b =  7.7 m

Step-by-step explanation:

$$\begin{gathered} a=9\text{ m } \\ 55=5\cdot 11 \\ 70=2\cdot 5\cdot 7 \\ LCM(55,70)=2\cdot 5\cdot 7\cdot 11=770 \\ x=LCM(55,70)=770\text{ cm } \\ b<a \\ b=x\to \text{ m}=x\mathrm{/}100\text{ m}=770\mathrm{/}100\text{ m}=7.7\text{ m}=7.7\text{ m} \end{gathered}$$

Try another example

Related math problems and questions:

• Steps
  Peter makes steps long 70 cm, John 45 cm long. After how many meters their footsteps meet?
• Square tiles
  The room has dimensions of 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor.
• Blades
  1st blade 2,5 m, 2nd blade. .1.75 m. How many same long pieces of this two blades can be do the biggest? How long is one piece?
• LCM
  What is the least common multiple of 5, 50, 14?
• Find unknown number
  What is the number between 50 and 55 that is divisible by 2,3,6,9?
• Decompose
  Decompose into primes and find the smallest common multiple n of (16,20) and the largest common divisor D of the pair of numbers (140,100)
• Lcm simple
  Find least common multiple of this two numbers: 140 175.
• LCD 2
  The least common denominator of 2/5, 1/2, and 3/4
• Glass panel
  A rectangular glass panel with dimensions of 72 cm and 96 cm will cut the glazier on the largest square possible. What is the length of the side of each square? How many squares does the glazier cut?
• A rope
  A rope can be cut into equal length with no rope left over. The lengths can be 15cm,18cm or 25cm. What is the shortest possible length of the rope?
• Chairs
  In the two dining rooms in the recreational building, there are equally arranged chairs around the tables. A maximum of 78 people can dine in the first dining room and 54 people in the second. How many chairs can be around one table?
• School books
  At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom?
• Plums
  In the bowl are plums. How many would be there if we can divide it equally among 8, 10 and 11 children?
• Cubes
  Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes.
• Pexeso
  Drawing paper has dimensions of 60cm and 840mm. Pupils have to divide it into squares so that they can make a pexeso. What dimension must squares have if their side is to be larger than 3cm and less than 10cm?
• Common divisors
  Find all common divisors of numbers 30 and 45.
• Lcm of three numbers
  What is the Lcm of 120 15 and 5