Tutor MathsGuru: Ask me for your burning Maths questions!

[Cheerfuldad]

Hi all,


P5 question:
At a party, Mrs Ong gave each pupil 5 nuggets and had 30 nuggets left. If she gave each pupil 6 nuggets, she would have 4 nuggets left. How many nuggets did Mrs Ong prepare for the party? :?

TIA

[ruyu]

Cheerfuldad:

Hi all,


P5 question:
At a party, Mrs Ong gave each pupil 5 nuggets and had 30 nuggets left. If she gave each pupil 6 nuggets, she would have 4 nuggets left. How many nuggets did Mrs Ong prepare for the party? :?

TIA

For the 5 nuggets start from 30 and continue by adding 5 nuggets

30,35,40,50,55

For the 6 nuggets start from 4 and continue by adding 6 nuggets

4,10,16,22,28,34,40,46

Than the common number between this two is 40 thus the answer is 40

Hope it helped


Best regard,

Ruyu

[Vanilla Cake]

ruyu:

Cheerfuldad:

Hi all,


P5 question:
At a party, Mrs Ong gave each pupil 5 nuggets and had 30 nuggets left. If she gave each pupil 6 nuggets, she would have 4 nuggets left. How many nuggets did Mrs Ong prepare for the party? :?

TIA

For the 5 nuggets start from 30 and continue by adding 5 nuggets

30,35,40,50,55

For the 6 nuggets start from 4 and continue by adding 6 nuggets

4,10,16,22,28,34,40,46

Than the common number between this two is 40 thus the answer is 40

Hope it helped

Best regard,

Ruyu

Hi Cheerfuldad,
Your 3-mark question is from http://www.orlesson.org/orp/09Ma/2009-Math-SA1-SCGS.pdf set on 13 May 2009.

Gave 5 nuggets to each pupil -> 30 nuggets left
Gave 6 nuggets to each pupil -> 4 nuggets left

6-5 = 1
30-4 = 26
26 divided by 1 = 26
So, Mrs Ong had 26 pupils.

26x5+30 = 160
Number of nuggets prepared by Mrs Ong for the party was 160.

[Vanilla Cake]

Cheerfuldad:

Hi all,


P5 question:
At a party, Mrs Ong gave each pupil 5 nuggets and had 30 nuggets left. If she gave each pupil 6 nuggets, she would have 4 nuggets left. How many nuggets did Mrs Ong prepare for the party?

TIA

[5 nuggets each][...30 nuggets left...]
[....6 nuggets each....][4 nuggets left]

Using 5 nuggets per pupil (can also use 6 nuggets)
5u+30 = 6u+4
6u-5u = 30-4
u = 26
Where u is the number of pupils.

Number of nuggets = 5u+30 = 5(26)+30 = 160.

Hope that you are able to understand while waiting for Mathsguru, Dharma, Maths Monster etc to come and forward their solutions.

[Dharma]

Cheerfuldad:

Hi all,


P5 question:
At a party, Mrs Ong gave each pupil 5 nuggets and had 30 nuggets left. If she gave each pupil 6 nuggets, she would have 4 nuggets left. How many nuggets did Mrs Ong prepare for the party? :?

TIA

If Mrs Ong gives each pupil 1 extra nugget, she will be left with 26 less nuggets (which means she gives out 26 extra nuggets; each pupil gets 1 extra nuggets). So, there must be 26 pupil.

No. of pupil = 26
No. of nuggets prepared
= (26 x 5) + 30 = 160
or
= (26 x 6) + 4 = 160

[peterch]

ruyu:

Dharma:

[quote=\"peterch\"]Please help me on this P4 math question.


Q:
3 Similar oven toasters and 4 similar kettles cost $120
2 such oven toasters and 1 such kettle cost $95
Find the cost of an oven toaster.


Thanks and sorry if this question ever been discussed earlier.

Regards

just add up the 2 equations ... U get 5 toasters + 5 kettles = $ 215
1 toaster + 1 kettle = $43
1 toaster = $95 - $43 = $52

hard for them to understand use this

3 toaster oven +4 kettle =$120
2 toaster oven +1 kettle =$95

we can change the kettles in both the workings to be the same

8 toaster oven+4 kettle = $380

If we minus the total cost of 3 toaster oven and 4 kettles from 8 toaster oven and 4 kettle we get the cost of 5 toaster ovens.

5 toaster oven+0 kettle = $260

5 toaster ovens = $260
1 toaster oven = $52

Hope it help! :D[/quote]Thanks all.....regards

[Dharma]

abc_parent:

Q3) A set of dictionaries which fitted exactly 4 shelves, each 2.05m long, was replaced by a new set. Every 7 old dictionaries was replaced by 4 new ones, each 5 cm thick. If the new set of dictionaries also fitted the 4 shelves exactly, what was the difference in the number of books between the two sets?


Answer: 120 dictionaries

Total thickness of dictionaries = 4 x 205cm = 820cm

Each shelf will have 205cm/5cm = 41 new dictionaries

No. old dictionaries that were replaced by the new set per row = (41/4) x 7 = 287/4 = 71.75

Only 71 old dictionaries fit into each row of the shelf.
Total number of old dictionaries = 4 x 71 = 284
Total number of new dictionaries = 4 x 41 = 164

Difference in the number of dictionaries = 284 – 164 = 120

(You cannot tear off a portion of a dictionary to force it into a shelf !!!)

[wkong]

Hi,


Thanks for solving thoses previous questions I have post. I have another one that need help.

A shopkeeper has 415 pencils and notebooks. After selling 1/3 of the pencils, he bought 65 notebooks. The ratio of the pencil to the notebook is 6:7.

Question A: How many notebooks did he have at first?
Question B: How many pencils did he have in the end?

[Vanilla Cake]

wkong:

Hi,


Thanks for solving thoses previous questions I have post. I have another one that need help.

A shopkeeper has 415 pencils and notebooks. After selling 1/3 of the pencils, he bought 65 notebooks. The ratio of the pencil to the notebook is 6:7.

Question A: How many notebooks did he have at first?
Question B: How many pencils did he have in the end?

After
P : N
6u : 7u

Before
P : N
9u : 7u-65

9u+7u-65 = 415
16u = 480
u = 30

Notebook (before): 7u-65 = 7(30)-65 = 145
(a) At first, the shopkeeper had 145 notebooks.

Pencil (after): 6u = 6x30 = 180
(b) In the end, the shopkeeper had 180 pencils.

[ruyu]

a question that appeared from my exam i am remembering this with my best ability!


Names differ


Tom had $200 more than Harry. In the afternoon, Tom gave some money to Harry. The ratio to the amount he had left to the amount he gave away is 2:3. In the evening, Harry gave some money to Tom. The ratio of the amount he had left to the amount he gay away is 3:1. In the end, Harry had $200 more than Tom. How much did Tom have at first?

one more question , can you please check if there is a mistake my friends and i could not even get the answer! UNDOABLE!

Tom and Harry bought some cartons of soya bean drink and herbal tea. Tom bought 3/8 of the cartons. Both of them bought 48 more cartons of soya bean drink than herbal tea. Harry bought 2/5 of the soya bean drink and 1/2 of the herbal tea. How many cartons did Tom buy?

Thanks for your help!