Dressmaker

Dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters dress. What a piece of canvas left her?

Result

x =  3.6 m

Solution:

$120 = 2^3 \cdot 3 \cdot 5 \\ 180 = 2^2 \cdot 3^2 \cdot 5 \\ LCM(120, 180) = 2^3 \cdot 3^2 \cdot 5 = 360\\ x = 360/100 = 3.6 \ \text{ m }$

Try another example

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:

Be the first to comment!

Next similar math problems:

1. Troops
   If the general sorts troops into the crowd by nine left 6. How many soldiers has regiment if we know that they are less than 300?
2. Balls groups
   Karel pulled the balls out of his pocket and divide it into the groups. He could divide them in four, six or seven, and no ball ever left. How little could be a ball?
3. Steps
   Walkway from the house to the school is 180 m long. How many more steps Michael makes than his father on the way to school, if the length of Michael's step is 60 cm and the length of his father's step is 90 cm.
4. Steps
   Peter makes steps long 70 cm, John 45 cm long. After how many meters their footsteps meet?
5. Tailor
   From the rest of the cloth tailor could cut off either 3 m in men's suits without vest or 3.6 m with vest. What shortest possible length could the rest of the cloth have? How many suits a) without a vest b) with vest could make the tailor from the re
6. Three Titanics
   Three steamers sailed from the same port on the same day. The first came back on the third day, fourth 4th day and the third returned sixth day. How many days after leaving the steamers met again in the harbor?
7. Lcm simple
   Find least common multiple of this two numbers: 140 175.
8. Ships
   Red ship begins its circuit every 30 minutes. Blue boat begins its circuit every 45 minutes. Both ships begin their sightseeing circuit in the same place at the same time always at 10:00 o'clock. a / What time does meet boat again? b / How many times a da
9. Gears
   The gearing fits wheel with 20 teeth to the wheel with 36 teeth. Before starting the machine is stained tooth smaller wheels in the designated space between the teeth of the larger wheels. How many times after starting the machine wheels turning that stain
10. Gearing
    Gearing consists of two wheels, one is 88 and second 56 teeth. How many times turns smaller wheel to fit the same teeth as in the beginning? How many times will turn biggest wheel?
11. The port
    Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, second ship after 4 weeks, third after 8 weeks and fourth ship after 12 weeks. After how many weeks all the boats gather at the port?
12. Counting number
    What is the smallest counting number divisible by 2,5,7,8 and 15?
13. Lcm of three numbers
    What is the Lcm of 120 15 and 5
14. Plum
    On the platter are plum. How many were there if its have to be able to share equally among 8,10 and 12 children?
15. School
    Headteacher think whether the distribution of pupils in race in groups of 4,5,6,9 or 10. How many pupils must have at least school at possible options?
16. Customer
    A customer purchase three (3) writing pads from a store. She receive k9.70 change from a k10.00 note . How much was it's writing pad cost?
17. Tram lines
    Trams of five lines driven at intervals of 5,8,10,12 and 15 minutes. At 12 o'clock come out of the station at the same time. About how many hours again all meet? How many times have earch tram pass for this stop?