Tutor MathsGuru: Ask me for your burning Maths questions!

[mathsguru]

Vanilla Cake:

Hi Mathsguru,

Pls help to solve this problem sum using models and TIA

Gabriel had some guppies. He gave 1/4 of it to Jenni.
Jenni had some mollies. She gave 2/5 of it to Gabriel.
Later 30 of Gabriel's mollies died. As a result the ratio of Gabriel's guppies to his mollies became 3 : 1. Jenni bought another 80 mollies. After that the ratio of Jenni's guppies to her mollies became 1 : 4 as a result.
How many of mollies had Jenni at first?

Hi Vanilla Cake,

Here's my solution.

Cheers,
MathsGuru

http://www.postimage.org/image.php?v=TsGHuFS

[mathsguru]

Vanilla Cake:

Hi Maths Monster/adhdadhd,

Thanks for your fast response. :salute:

Another :?: problem sum that needs model solution.

A has 200 more books than B. A gives 60% of her books to B. B then gives 25% of her books back to A. In the end, B has 200 more books than A. How many books does A have at first?

Plus this one from http://www.orlesson.org/orp/09Ma/2009-Math-SA1-TaoNan.pdf.

Leela and Kumar shared a sum of money. Leela's share was $90 less than Kumar's. After Kumar gave 1/7 of his share to Leela, Leela had $10 more than Kumar.

(a) How much did Leela have at first?
(b) What was the sum of money?

Cannot understand the given solution in the link, :stupid: Pls help with model solution.
TIA for all your help.

Hi Vanilla Cake,

Here're my solutions.

Cheers,
MathsGuru

http://www.postimage.org/image.php?v=gxK_oj0

http://www.postimage.org/image.php?v=gxK_qO9

[mathsguru]

wkong:

Dear MathsGuru,


Can you pls help for the following question and provide me the method?


A container 5/6 full of sand has a mass of 108kg. The same container ¼ full of sugar has a mass of 30kg. The container when full of sand is 60kg heavier than when it is full of sugar. Find the mass of the empty container.

Thanks.

Hi Wkong,

Here's my solution. The aim here is to try to eliminate one type of item.

Cheers,
MathsGuru

http://www.postimage.org/image.php?v=aV77zb0

[mathsguru]

Daddy:

Dear MathsGuru,


Please help P5 math question.

1. The area of the rectangle ABCD below is 140 cm2.
Area of triangle XYD is 20 cm2.
Find the total shaded area of the rectangle.

http://i222.photobucket.com/albums/dd39/tham33/A.jpg\">

Daddy
Thanks all

Hi Daddy,

Here's my solution!


MathsGuru

http://www.postimage.org/image.php?v=aV78SuJ

[mathsguru]

wkong:

Hi Maths Guru,


i have another Maths question that need helps:

Belinda has a collection of some stamps. If she gave 36 stamps to Samantha, she would have 4 times as many stamps as Samantha. If she gave 23 stamps to Samantha, she would have 5 times as many stamps as Samantha. How many stamps did Belinda have at first?

Thanks.

Hi Wkong,

Here's my solution.


MathsGuru

http://www.postimage.org/image.php?v=TsGPVYi

[mathsguru]

MUMMYOF3:

Hi,


Pls help me with the flwg questions : -

There are altogether 114 beans in bags A, B and C.
There are 8 more beans in bag A than B.
The number of beans in bag C is twice the total number of beans in bags A and B. How many more beans are there in bag C than B ?


Thanks.

Hi Mummyof3,

Here's my solution. Try to let the bag with the least no. of beans be 1 unit.


MathsGuru

http://www.postimage.org/image.php?v=PqiMVQ9

[mathsguru]

wkong:

Hi adhdadhd,


Thanks for the solution.

I have another Maths question:-

James had $6 less than Patrick. Patrick had 4/7 of what Kathy had. When Kathy gave $14 to Patrick and $20 to James, the 3 of them had the same amount of money each.

a) How much money did Patrick have at first?
b) What was the total sum of money the 3 of them had?

Hi Wkong,

Here's my solution.


MathsGuru

http://www.postimage.org/image.php?v=aV7hCKi

[mathsguru]

Jolyn:

Hi Maths Guru


I have the following of 2 questions which needs your help:

1. Zul has 18 sweet. He has thrice as many sweets as Shania. How Many more sweets does Zul have than Shania?

2. A fruit seller sold some fruits on Tuesday morning. He sold 3 times as many oranges as apples. He sold 684 fruits that day.

a) How many oranges did he sell?
b) How many more oranges than apples did he sell?


Thank you very much.....

Hi Jolyn,

Here are my solutions. These are basic questions of model drawing, hope your child can grasp these basics well!

Cheers,
MathsGuru

http://www.postimage.org/image.php?v=gxLlcGJ

http://www.postimage.org/image.php?v=gxLlfaS

[mathsguru]

tinasen:

I'm breaking my head to give a model method solution for this question. I tried to get a solution from some friends but it still doesn't help me understand how to solve it.


Joseph had 5 times as much money as Lyn at first. After their mom gave $1002 to each of them , Joseph had twice as much as Lyn How much did Joseph had at first?

Hi Tinasen,

Here's my solution. Hope it helps!


MathsGuru

http://www.postimage.org/image.php?v=aV7jj_r

[mathsguru]

YLH88:

Hi Mathsguru,


With ref to the following question posted by Firebird, how did you derive the shaded are is 420 cm2 ?

Question 11) In the figure below, not drawn to scale, PQRS is a rectangle with a length of 45 cm and a width of 22 cm. The area of te TUVW is 75 cm2. Find the ratio of the shaded area to the unshaded area.

http://www.postimage.org/image.php?v=Pq46L9A

Thank you very much!

p/s now my ds is practicing the school test paper and come across this question which I recalled you have helped solved the question, but hor, I don't really understand the solution

Hi YLH88,

Apologies! Now that I re-look at my solution, I made a few typos! Must be type till blur already!! Paiseh~~

Here's my corrected solution.

The key thing tested here in the question is the concept of shared base and height of triangles. Does your boy understand how to find the unshaded area (i.e. area of 2 triangles - TUVW)?


MathsGuru

http://www.postimage.org/image.php?v=PqiW1x0