Monday, September 27, 2010

Solving problems using either LCM or GCF

Hi, Kids. By the end of this task, you will be able to:
  1. Identify when to use Least Common Multiple (LCM) to solve real life problems.
  2. Invent and solve a problem that can be solved by using LCM.
Average online time: 20 min
Average offline time: 15 min



Pedro goes to the gym every 8 days and has tennis lessons every 12 days. If today, Monday September 27th, he did both activities, when will he do both things again?





Analysis
Well this problem requires LCM since it is about events that repeat over and over.

Procedure
I will find the LCM of 8 and 12
Multiples of 8: 8, 16, 24, 32
Multiples of 12: 12, 24

The LCM of 8 and 12 is 24

Answering the problem
The number I found indicates that every 24 days Pedro does both things. I today is September 27th, 24 days from now will be....


October 21st.
Pedro will do both activities again on October 21st.

YOUR TASK
1) Invent a problem that can be solved by using LCM and solve it.
3) Post your problem, the procedure you used, and a complete answer. 
(before posting revise for proper written English)

29 comments:

  1. Jamie Goes every 7 days to play with her cousins, and every 5 days to her granparents house. If on Tuesday September 28 she did both activities when she would do both again?

    I would find the LCM of 7 and 5

    Multiples of 7: 7,14,21,28,35
    Multiples of 5: 5,10,15,20,25,30,35

    The LCM of 7 and 5 is 35.

    The number that I found indicates that every 35 days she does both.If today is September 28, 35 days from now on will be Tuesday November 2.

    On November 2 she would do both activities.

    ReplyDelete
  2. Andrea has class of english every 8 days and to ballet every 6 days,if today tuesday,septmber 28Th she had both,when will she have both again?

    Multiples:

    8-8,16,24

    6-6,12,18,24


    There LCM is 24

    so every 24 days she has both calses.she will have both again in Oct 22nd

    ReplyDelete
  3. Hugo goes every 6 days to study on extraculicular activities of english and every 8 days he go to extraculicular activites of math if today is 28 of september and he practice both what other day he will practice the 2 again?

    the lcm of 6,8 is 24

    Because this are the multiples

    of 6:6,12,18,24
    of 8:8,16,24

    It will be the 22 of october when he will have the 2 class the same day.

    ReplyDelete
  4. If you go to the park every 4 days and to visit your grandpas every 5 days. If on tuesday 28 of september you do both activities, when you visit both things at the same time?

    find the lcm of 4 and 5:

    4:4,8,12,16,20
    5:5,10,15,20

    So i will do both activities in 20 days so it will be on september 18.

    ReplyDelete
  5. Pedro will do both other time on 1st of October.

    ReplyDelete
  6. I go to school 6 week 10 to the parck, If to day is tuesday, I do both activities when i do both things again?

    6: 6,12,18,24,30
    10: 10,20,30

    the ICM is 30

    ReplyDelete
  7. jhon bernardo goes to play soccer every 20 and he visit his brother every 5.If today is sep 28 when he will do both activities at same time.

    multiples of 20,40
    multiples of 5 ,10,15,20

    Jhon bernardo will do both activities at sama time on oct 18.

    ReplyDelete
  8. Fiona (my cat) go to the vet every 6 days and to visit her friend every 12 days. If today sep 28 she do bouth activities when she would do them again at the same day?
    6:6,12
    12:12
    She would do the activities again at the same day in 12 days or in oct 9.

    ReplyDelete
  9. if I go to the pool every 10 days and to the jacuzzi every 3 days and today september 28 you do both things when would you do both things again?

    now I need to find the LCM of 10 and 3:

    10:10,20,30
    3:3,6,9,12,15,18,21,24,27,30

    it will be in 30 days, so I will do both things again on october 28.

    ReplyDelete
  10. pamela go to the house of his friend every 10 days and to her mothers house every 5 days if on sep 27 she didnt go to any part what is the days she would go both things
    procedure:
    5:5 10 15 20 25 30 35 40 45 50 55 60
    10:10 20 30 40 50 60 the LCM IS 10 She would do both things every 10 days

    ReplyDelete
  11. Paula goes every 10 days to gym,and she goes every 40 days to the mall. When she will go to the both places?

    10:10,20,30,40
    40:40,80,120,16o

    She will go the both places every 40 days.

    ReplyDelete
  12. if caro go every 5 days to the park and 20 days to go a friend house.if caro do the 2 1 oct when i would do the 2 again.

    5:5,10,15,20
    2020
    caro will go to the 2 places agin in 20 days

    ReplyDelete
  13. manuela go to the libery every 20 days and she go to the house of natalia every 30 days .when she go to the both places again?

    20 40 60
    30 60 90

    she will go to the both places every 60 days.

    ReplyDelete
  14. If francisco goes to play soccer every 12 days and to visit his mother every 48 days. When does he would do both things again.

    12:12,24,36,48
    48:48

    Francisco will go every 48 days.

    ReplyDelete
  15. every10 days artha go to drink coffe an evri 15 she go to the jazz class if today 28 she do the both when is the ext time she wold doe agin
    10:10,20,30

    15:15,30
    she wold do agin in 30 days att lura avila

    ReplyDelete
  16. I go to the school's soccer matches every 4 days and to my River Plate's soccer academy mathces every 7 days if today, 28 of september I do both things, what is the next day I will do both things again???
    procedure:
    7:7,14,21,28. 4:4,8,12,16,20,24,28. lcm:28
    A=I do both things every 28 days and the next time I'll do both things it's on 26/oct./2010

    ReplyDelete
  17. Maxi Valenzuela BlancoSeptember 28, 2010 at 8:42 p.m.

    Sandy goes to visit her gradmother every 8 days, and to visit her mom every 3 days, if today october 5 she goes to visit her mom and her grandmother. When she will do both things?

    ANSWER
    PROCESS

    multiples of 8:8,16,24
    multiples of 3:3,6,9,12,15,18,21,24

    LCM:24

    ANSWER
    in 24 days, so it would be in october 29

    ReplyDelete
  18. Joey goes to the guitar class every 18 days and has the piano class every 24 days. If today is 28 of september,when will he do both clases?

    multiples of 18:18,36,54,72.
    multiples of 24:24,48,72.
    Joey will have both clases in 72 days:10 of December

    ReplyDelete
  19. Mark goes to soccer training every 4 days and to basketball training every 5 days. If today october 5 do both trainings wath other day would he have both trainings again?

    multiples of 4:4,8,12,16,20.

    multiples of 5:5,10,15,20

    The LCM of both numbers is 20.

    Mark will go to both trainings at october 25.

    ReplyDelete
  20. Lucia go to the gim every 3 days and to the pool every 5 days.
    in how many days is she going to do both at the same time?

    A=
    3:3,6,9,12,15,18,21

    5:5,10,15,20,25,30,35

    THE LCM is 15

    Lucia is going to do both things again in 15 days.


    By:natalia munoz

    ReplyDelete
  21. I THING THE LCM OF 3 AND 6 IS 6
    BY.MARIANA NUÑEZ

    ReplyDelete
  22. HOLA ME PARECIO CHEVERE EL EJERCICIO

    ELLIE NUÑEZ

    ReplyDelete
  23. lucia go to the gim every 3 days and to the pool every 5 days.In how many days will she do both things again?

    3:3,6,9,12,15

    5:5,10,15,

    the LCM is 15

    Lucia will do both things again in 15 days.

    ReplyDelete
  24. Manny goes to the store every four days, and goes to the gym every three days. In he went to the gym and to the store today, in how many days will he again go to the gym and the store?

    store: 4,8,12,16,20...
    gym: 3,6,9,12,15,18...

    He will go to both the gym and the store in 12 days.

    ReplyDelete
  25. budah plays with his ball every 8 days and play ultimate every 12 days, if today he play both things. in how many days will he play both things?

    multiples of 8:8,16,24,32,40,48
    multiples of 12:12,24,36,42

    The LCM : 24

    He would play both things in 24 days.

    ReplyDelete
  26. andres goes 5 times to the gym with stand and 3 times with his parents if on november 15 she do both things when did she will doe both again?
    you need to find the lcm of 5 and 3.
    5:5,10,15
    3:3,6,9,12,15
    she will do both on 30 of september

    ReplyDelete
  27. Juan goes 8 times to the estadium and 4 times to the gym , if he do the two activities in one day ,in how many days he can do de two at the same time ?

    8: 8,16
    4:4,8,12

    he would do the two activities in 8 days

    juan felipe stand

    ReplyDelete
  28. lucas goes 3 times to the house of juan and 6 times to the house of his father,if he do the two activities in one day ,in how many days he can do de two at the same time ?

    3:3,6
    6:6

    he would do the two activities in 6 days

    ReplyDelete
  29. this helps SO much!

    ReplyDelete

Thanks for your participation :)