Q&A - PSLE Math

[Dharma]

enoawng:

When Kumar partners Bala, they take 8 days to paint a house. When Bala partners Hashim, they take 6 days to paint the hose. When Hashim partners Muthu, they take 12 days to paint the house. How many days do Kumar and Muthu take to paint the house together?


TIA

http://www.postimage.org/

[Tang]

N3SKiasu:

Hi Tianzhu,

oh..it looks rather complex to me if I try to use it to explain to my child so I wld like to learn a simpler mehod from Dharma, if there is.

I wld very much like to share the MD at the same time, the drawing is just lying in front of me! but I am struggling to put the diagram into words. sorry very poor in this sort of things.. Any tips to share btw, I have seen your beautiful work. I will try to put it up asap. TQ.

Model:
A - 1 block of 18 + 8 units
B - 1 block of 18 + 5 units

If 18 people from A moved to B, B will have 3 more than A.
AN - 8 units
BN - 5 units + 2 block of 18

3 units --> 2 x 18 - 3 = 33
1 unit --> 33/3 = 11

Hence A --> 18 + 8 x 11 = 106 people
B --. 18 +5 x 11 = 73 people

[faith2u]

Box A and Box B are identical. 7/9 of Box A and ½ of Box B are filled with sand.

The mass of Box A with its content is 11/9 the mass of Box B with its content.
The total mass of the 2 Boxes and their contents is 480kg. Find the mass of the empty box.

[Dharma]

faith2u:

Box A and Box B are identical. 7/9 of Box A and ½ of Box B are filled with sand.

The mass of Box A with its content is 11/9 the mass of Box B with its content.
The total mass of the 2 Boxes and their contents is 480kg. Find the mass of the empty box.

http://www.postimage.org/

[Dharma]

N3SKiasu:

Btw, my earlier question
In a classroom, when a boy stands up, the number of boys sitting becomes 4/5 of the number of girls sitting. On the other hand, when a girl stands up, the number of girls sitting becomes 8/7 of the number of boys sitting. How many boys and girls are there in the class altogether?

Your answer contained:
3u=5p
1u = 5 & 1p=3

May I kw how is the last step being deduced from the earlier step?
Sorry if this question sound silly, I think I obviously unable to grab an impt concept here, :oops: wld appreciate your enlightenment.

Thks very much Dharma, for your help.

Sorry N3SKiasu,

I've added the calculations to show how 1u = 5 and 1p = 3

Just to need to add some comments to make it clear
No. of boys = 4u + 1 = 7p
No. of girls = 8p + 1 = 5u

You need to solve the 2 eqns to find 1u and 1p.

Hope it is clear now.

[Dharma]

Vanilla Cake:

Sam went shopping at a department store. He spent 1/5 of his money on a sofa set and $786 on a washing machine. Later, he spent 1/8 of his remaining amount on a dining table. If the amount of money left was $86.35 more than half of the amount he had at first, how much money did Sam have at first?


:?:

Hi Vanilla Cake,

Assume amt of money Sam had = 140u
7/8 of remainder = 70u + 86.35
8/8 of remainder = 80u + (86.35x8)/7

140u = 28u + $786 + 80u + 98.685
32u= 884.685
140u =3870.50

Sam had $3870.50 at first.

[Dharma]

These are 2 good qns on rates


1) A jigsaw puzzle can be fixed if A works alone for 6 hours followed by B working alone for 12 hours. Alternatively, the same jigsaw puzzle can also be fixed if A works alone for 8 hours followed by B working alone for 6 hours.If A works alone for 3 hours and hands over the job over to B, how long will it take B to complete fixing the jigsaw puzzle.

2)Tom started work on a job for 30 days. Jerry continued the job alone for another 5 days and finally they worked together for another 10 days to complete that job.For the same job, if Tom and Jerry work together, they can complete it in 20 days.Assuming Tom and Jerry each work at a constant rate throughout, how many days will Tom take to complete that job alone?

[Denise]

Mother has 2000 sweets. She gave all the sweets to the children.

On the 1st day, the children ate 1/2 of the sweets.
The children continue to eat 1/3, 1/4, 1/5 …1/2000 of the of the remainder of the sweets from the previous day.
How many sweets were left at last?

[Dharma]

Denise:

Mother has 2000 sweets. She gave all the sweets to the children.

On the 1st day, the children ate 1/2 of the sweets.
The children continue to eat 1/3, 1/4, 1/5 .........1/2000 of the of the remainder of the sweets from the previous day.
How many sweets were left at last?

http://www.postimage.org/

[N3SKiasu]

tianzhu:

Hi

Since you can get the answer through MD, it shows that you are probably on the right track.

Please post your MD, and I'll see if I can offer some help to simplify it.Do it, I am sure you'll gain from it.

Hi Tianzhu,
Thanks for your encouragement, I managed to put it onto words doc and paste onto picture mgr, but somehow the picture looks small. Are you able to advise how to enlarge it? Sound silly, so sorry, very poor at this, in fact my child helped me on this, I am grateful of you guys help.
http://www.postimage.org/

Pls feel free to amend if not right.
Thank you.