Tutor MathsGuru: Ask me for your burning Maths questions!

[MathIzzzFun]

Superbugs:

MathIzzzFun:

[quote=\"Superbugs\"]Hi there, someone pls help me with the following questions:


Mdm Lek had 57 apples and oranges altogether. There were 3 fewer oranges than apples. Sh egave away half as many oranges as apples and was left with twice as many oranges as apples. How many apples did she give away?

I can only do up to here:
2U+3 => 57
1U=>27
Oranges =>27
Apples => 27+3 => 30

Hi

Hope this helps :lol:

http://www.flickr.com/photos/62167097@N02/5705956596/in/photostream

cheers.

Wow impressive. I got it. Tks a lot.
Can anyone help with my earlier two questions pls. Tks[/quote]thank you, glad to be of help :lol:

cheers.

[Superbugs]

MathIzzzFun:

Superbugs:

I have another question, appreciate your help:

Jovi has 2 strings, string A and string B. Initially, string A was thrice the length of string B. Jovi then cut 9.1m from string A and 140cm from string B. The length of string B became 1.5 times of string A. What is the length of string A at first? Express your answer in cm?

Hi

Hope this helps :lol:

http://www.flickr.com/photos/62167097@N02/5709910478/in/photostream

cheers.

Dear MathIzzzFun,
You are really good. Tks a lot!

[canberra12377]

Hi Tutor MathsGuru,


Do you provide 1-1 tuition ?

Regards
Melinda

[Vanilla Cake]

Pls :imdrowning: and TIA for your time cum effort.


http://i51.tinypic.com/2q03s3t.jpg\">
Answer given : 415

[Vanilla Cake]

Pls :imdrowning: and TIA for your time cum effort.


http://i52.tinypic.com/2v0dee0.jpg\">

Answer given: 11 and 2/3 cm2

[Vanilla Cake]

Pls :imdrowning: and TIA for your time cum effort.


http://i51.tinypic.com/34qoejc.jpg\">
Answer given: 2010

[Vanilla Cake]

Pls :imdrowning: and TIA for your time cum effort.


http://i54.tinypic.com/96aj5k.jpg\">

Answer given: 150 degree

[ChiefKiasu]

Vanilla Cake:

Pls :imdrowning: and TIA for your time cum effort.


http://i52.tinypic.com/2v0dee0.jpg\">

Answer given: 11 and 2/3 cm2

Let Aw = width of A, Ah = height of A, and so on.

Ch = 2/Cw = 2/(7/Ah) = 2/7 Ah = 2/7 (21/Bw) = 6/Bw

Aw + Bw = Ah + Ch
7/Ah + Bw = 7/Aw + Ch
7/(21/Bw) + Bw = 7/(2/Ch) + Ch
1/3 Bw + Bw = 7/2 Ch + Ch
4/3 Bw = 9/2 Ch
4/3 Bw = 9/2 (6/Bw) = 27/Bw
Bw*Bw = 27 (3/4) = 81/4
Bw = 9/2
Ch = 6/(9/2) = 4/3

Perimeter of D = 2(9/2 + 4/3) = 2 ((27 + 8)/6) = 35/3 = 11 2/3 cm

[CoffeeCat]

Vanilla Cake:

Pls :imdrowning: and TIA for your time cum effort.


http://i54.tinypic.com/96aj5k.jpg\">

Answer given: 150 degree

http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=27&t=6373&p=195304

Please look there. Someone asked this 1 yr ago.

[Dharma]

Vanilla Cake:

Pls :imdrowning: and TIA for your time cum effort.


http://i51.tinypic.com/2q03s3t.jpg\">
Answer given : 415

S1 = 1
S2 = 1 + 11 = 12
S3 = 1 + 11 + 111 = 123
.
.
.
S9 = 123456789
S10 = 123456790.
.
.
S20 = 12345679012345679010
.
.
.
S30 = 123456790123456790123456790120
.
.
.
S100 = 123456790....1234567901234567890
(10 sets of 123456790)

Sum of digits
= 10(1+ 2+3+4+5+6+7+9+0) + (1+2+3+...+ 8+9 + 0)
= 370 + 45
= 415