Tutor MathsGuru: Ask me for your burning Maths questions!

[iFruit]

wkong:

Hi All,


Need help for the following:

Based on the diagram I have attached, what is the maximum amount of Figure A that can be cut out of the rectangle?


http://postimage.org/image/1eyvrals4/

If you join two of the triangles, it becomes a 4x3 cm rectangle.

Maximum number 4x3 rectangles that can fit in the big rectangle = (28/3) x (16/4) = 36 (3cm along length wise, 4cm along breadth wise)

So max triangles that can be cut out = 36x2 = 72.

PS: if you cut the other way, you will end up with 70.

[wkong]

Hi iFruit,


Thanks for getting the answer. My kid got the answer 72 too, but another classmate of his say is 74. So which one is correct? Confused. :?

[iFruit]

wkong:

Hi iFruit,


Thanks for getting the answer. My kid got the answer 72 too, but another classmate of his say is 74. So which one is correct? Confused. :?

Hi wkong,

I think 74 is arrived at by rounding off (area of rectangle / area of triangle) = (28x16/6). But it is wrong as you can't cut more than 72 triangles as the remaining area can't be cut into required triangles.

HTH

[wkong]

iFruit:

wkong:

Hi iFruit,


Thanks for getting the answer. My kid got the answer 72 too, but another classmate of his say is 74. So which one is correct? Confused. :?

Hi wkong,

I think 74 is arrived at by rounding off (area of rectangle / area of triangle) = (28x16/6). But it is wrong as you can't cut more than 72 triangles as the remaining area can't be cut into required triangles.

HTH

Thanks.

[snowball]

:? Dear All, please help to ans the following Pr 3 maths...


Miss Tan bought some balloons for her pupils. If she gave each of her pupils 6 balloons, she would have 2 balloons left over. If she gave each of them 8 balloons, she would be short of 2 balloons. What was the least possible number of pupils Ms Tan had ?

Thnks

[Muffins]

snowball:

:? Dear All, please help to ans the following Pr 3 maths...


Miss Tan bought some balloons for her pupils. If she gave each of her pupils 6 balloons, she would have 2 balloons left over. If she gave each of them 8 balloons, she would be short of 2 balloons. What was the least possible number of pupils Ms Tan had ?

Thnks

Make the number of units x.

So, 6x + 2 = 8x - 2

Adding back the negative 2, we get: 6x + 4 = 8x

8x - 6x = 4

2x = 4

x = 2

Cheers!

[thir-teen]

snowball:

:? Dear All, please help to ans the following Pr 3 maths...


Miss Tan bought some balloons for her pupils. If she gave each of her pupils 6 balloons, she would have 2 balloons left over. If she gave each of them 8 balloons, she would be short of 2 balloons. What was the least possible number of pupils Ms Tan had ?

Thnks

http://postimage.org/image/1ctdwm10k/

[snowball]

Muffins:

snowball:

:? Dear All, please help to ans the following Pr 3 maths...


Miss Tan bought some balloons for her pupils. If she gave each of her pupils 6 balloons, she would have 2 balloons left over. If she gave each of them 8 balloons, she would be short of 2 balloons. What was the least possible number of pupils Ms Tan had ?

Thnks

Make the number of units x.

So, 6x + 2 = 8x - 2

Adding back the negative 2, we get: 6x + 4 = 8x

8x - 6x = 4

2x = 4

x = 2

Cheers!

Muffins, firstly, thanks for the solution.

but ans sheet show 14 :?

I suppose WE are both correct, should be \"2\" , printing error i suppose :celebrate:

BTW is algebra being taught in Pr 3 level ? Do you have another method of solving this question, i dont know how to explain \"algebra\" concept to my girl :stupid:

[snowball]

thir-teen:

snowball:

:? Dear All, please help to ans the following Pr 3 maths...


Miss Tan bought some balloons for her pupils. If she gave each of her pupils 6 balloons, she would have 2 balloons left over. If she gave each of them 8 balloons, she would be short of 2 balloons. What was the least possible number of pupils Ms Tan had ?

Thnks

http://postimage.org/image/1ctdwm10k/

Hi thir-teen,

i used the same method as yours to arrive for the ans 2.

so i suppose this is the best n easier method to teach Pr 3 level i.e. trial n error method right?

[Dharma]

snowball:

:? Dear All, please help to ans the following Pr 3 maths...


Miss Tan bought some balloons for her pupils. If she gave each of her pupils 6 balloons, she would have 2 balloons left over. If she gave each of them 8 balloons, she would be short of 2 balloons. What was the least possible number of pupils Ms Tan had ?

Thnks

If Ms Tan gives each pupil 2 extra balloons, she will have 4 less balloons.
If Ms Tan gievs each pupil 1 extra ballloon, she will have 2 less balloons.

No. of pupil = 2/1 = 2