Tutor MathsGuru: Ask me for your burning Maths questions!

[ADoc]

LaiHeng:

got a tricky question: thanks for the help

Adam,Ben, Can and Den had a total of 5856 stickers at first. After 1month, Adam's stickers is increased by 2/3, Ben's stickers is decreased by 3/13, Can's stickers is increased by 153 and Den lost 276 of his stickers. They then had the same number of stickers.
a) how many stickers did Adam have at first?
b) how many stickers did Den have at first?

Hi there! Here's my answer for your reference.
cheers! have a great weekend!
http://postimage.org/image/27fpebeuc/

[ADoc]

vannessa:

Hi I need help on a pri 3 question. Hakim is 26 yrs old. He is 8 yrs older than Rick. How many yrs ago was hakim's age thrice as Rick?

Thank you[/list]

Hi! I assume you are or your kid is just about learning models maybe? See if any of the three methods suits your needs. I'll try to be as detailed and clear in my solutions since it's a P3 kid.

Most important concept about this sort of question is that we all aged by the same number of years, months, days (i.e. the difference between any two persons' ages is always constant).

1. work backwards (or guess & check)
26 18
25 17
24 16
23 15
22 14
21 13
20 12
19 11
18 10
17 9
16 8
15 7
14 6
13 5
12 4
therefore ans = 26 - 12 = 14 yrs ago


2. ratio
26 : 18 (now)
difference = 26 - 18 = 8 units

3 : 1 (so many years ago; difference = 2 units)
make the difference in units the same as \"now\"
2 x 4 = 8
therefore

3 : 1 = 3 x 4 : 1 x 4 = 12 : 4
therefore 26 - 12 = 14 yrs ago


3. model
ago

[ ] [ ] [ ] Hakim
[ ] Rick

since age difference does not change, therefore \"so many\" years ago, the difference between Hakim's & Rick's age remains as 8 years.

therefore 3 [ ] - 1 [ ] = 2 [ ] = 8
1 [ ] = 8 divide by 2
= 4

this means Rick was 4 year's old when Hakim was thrice Rick's age.
therefore, present age minus 4 year's old = 18 - 4 = 14 yrs ago

[ozora]

thanks

ADoc:

LaiHeng:

got a tricky question: thanks for the help
Adam,Ben, Can and Den had a total of 5856 stickers at first. After 1month, Adam's stickers is increased by 2/3, Ben's stickers is decreased by 3/13, Can's stickers is increased by 153 and Den lost 276 of his stickers. They then had the same number of stickers.
a) how many stickers did Adam have at first?
b) how many stickers did Den have at first?

Hi there! Here's my answer for your reference.
cheers! have a great weekend!
http://postimage.org/image/27fpebeuc/

[vannessa]

Thank you ADoC

[ADoc]

LaiHeng:

thanks

ADoc:

[quote=\"LaiHeng\"]got a tricky question: thanks for the help
Adam,Ben, Can and Den had a total of 5856 stickers at first. After 1month, Adam's stickers is increased by 2/3, Ben's stickers is decreased by 3/13, Can's stickers is increased by 153 and Den lost 276 of his stickers. They then had the same number of stickers.
a) how many stickers did Adam have at first?
b) how many stickers did Den have at first?

Hi there! Here's my answer for your reference.
cheers! have a great weekend!

[/quote]Hi LaiHeng, you're most welcome!

[ADoc]

vannessa:

Thank you ADoC

Hi Vannessa! hope it was useful. cheers!

[Yu Xuan]

Bunny27:

Hi,

In the 1st week of a fund raising campaign, class 6a raised 4 times as much as class 6b. In the 2nd week, 6a raised another $240 while 6b raised another $160. Given that 6a raised thrice as much as 6b within these 2 weeks, what was the total amount of money raised by the 2 classes?

Hi

First week;
6a --> 4 units
6b --> 1 unit

2 weeks;
6a --> 4 units + $240 = 3 parts

6b -->1 unit + $160 = 1 part
------> 3 units + 480 = 3 parts

Using a model;

6a [ ][ ][ ][ ][--$240--]
6b [ ][ ][ ][----$480---]

Hence ;
1unit --> $480 - $240 = $240
5units --> $240 * 5 = $1200

$1200 + $240 + $160 = $1600

[ADoc]

Apphia:

Yes, models will be a great help. It will be easier for me to explain to my daughter.


Warm Rgds, Apphia

Hi Apphia! sorry for the delay.

cheers!
ADoc
http://postimage.org/image/2bao708o4/

http://postimage.org/image/2bari2xno/

http://postimage.org/image/2bat5ma5g/

[yeonee]

Need Help!


The sum of Ben’s age and his younger brother’s age is 26. The product of their ages is 144.
What is Ben’s age in 20 years’ time?

[Bunny27]

Thanks again, Yu Xuan!

Yu Xuan:

Bunny27:

Hi,
In the 1st week of a fund raising campaign, class 6a raised 4 times as much as class 6b. In the 2nd week, 6a raised another $240 while 6b raised another $160. Given that 6a raised thrice as much as 6b within these 2 weeks, what was the total amount of money raised by the 2 classes?

Hi

First week;
6a --> 4 units
6b --> 1 unit

2 weeks;
6a --> 4 units + $240 = 3 parts

6b -->1 unit + $160 = 1 part
------> 3 units + 480 = 3 parts

Using a model;

6a [ ][ ][ ][ ][--$240--]
6b [ ][ ][ ][----$480---]

Hence ;
1unit --> $480 - $240 = $240
5units --> $240 * 5 = $1200

$1200 + $240 + $160 = $1600