Tutor MathsGuru: Ask me for your burning Maths questions!

[Muffins]

oh! i meant to write that x equals units. will amend my post…

[Muffins]

snowball:

Muffins:

[quote=\"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:[/quote]Maybe you could explain it to her in the method of units... Instead of making the value \"x\" or \"unknown\" make it \"units\". Easier to understand for students, or at least for me

[Smosh]

Hi!


Anne has $165 and Cally had $200 at first.
After spending an equal amount of money, Cally had twice as much money as Anne. How much money did each of them spend?

I was able to solve it by algebra, but my son in P4 cant use it.
Anyone able to help me with the correct method of solving?

Thanks so much in advance

[kancheongmum]

Smosh:

Hi!


Anne has $165 and Cally had $200 at first.
After spending an equal amount of money, Cally had twice as much money as Anne. How much money did each of them spend?

I was able to solve it by algebra, but my son in P4 cant use it.
Anyone able to help me with the correct method of solving?

Thanks so much in advance

Hi Smosh

This type of question is unchanged difference. Just like you solve age problems. You see, Anne and Cally spent the same amount of money. So the difference in the amount they have before and after is the same. With that you can work out the solution without algebra.

Rdgs

[kancheongmum]

Muffins:

oh! i meant to write that x equals units. will amend my post....

Hi Muffins


I my opinion if you write x equals units, it still not clear. In this particular question x is the no. of pupils.

Rdgs

[Modelmatics]

Smosh:

Hi!


Anne has $165 and Cally had $200 at first.
After spending an equal amount of money, Cally had twice as much money as Anne. How much money did each of them spend?

I was able to solve it by algebra, but my son in P4 cant use it.
Anyone able to help me with the correct method of solving?

Thanks so much in advance

Hi Smosh,

You can also teach your kid using the Model Method.

Step 1: This question involves the <a href=\"http://www.teach-kids-math-by-model-method.com/constant-difference-concept.html%22%3EConstant Difference Concept</a>, i.e., the difference between the 2 variables remains a constant before and after the transfer (the spending of an equal amount of money). It would be easier to work backwards starting with the \"After\" model and work back to the \"Before\" model. We first draw 2 boxes to represent the amount of money Cally had and 1 box to represent the amount of money that Anne had.

http://postimage.org/image/1xq3kz9z8/

Step 2: Next, we draw a box each to the left of both Cally's and Anne's model to show the equal amount of money both had spent.

http://postimage.org/image/1xr3yswuc/

Step 3: Then we label the amount of money that Anne had before the spending as $165 and the amount of money that Cally had before the spending as $200.

http://postimage.org/image/1i6qeln38/

Step 4: From the model, we can see that the difference between Anne and Cally's money is equivalent to 1 unknown unit (represented by \"?\").

http://postimage.org/image/1i6tpoc2s/

Thus,

1 unit ----------> $200 - $165 = $35

Putting the value of 1 unit = $35 back into Anne's model,

$165 - $35 = $130

Therefore, both of them spent $130.

[Daddy]

Hi,


I have questions to ask. Thanks.

1. The ratio of the no. of adults to the no. of children was 4:3. The ratio of the no. of men to the no. of women was 3:5.
a) What was the ratio of the no. of women to the no. of children?
b) There were 180 men at the party. how many people were there at the party?

:?
Thanksss.
Daddy

[Tang]

1. The ratio of the no. of adults to the no. of children was 4:3. The ratio of the no. of men to the no. of women was 3:5.

a) What was the ratio of the no. of women to the no. of children?
b) There were 180 men at the party. how many people were there at the party?



M : W = 3 : 5, so A = 3 + 5 = 8

A : C = 4 : 3 = 8 : 6 (x 2)

W : C = 5 : 6

a) The ratio of the no. of women to the no. of children was 5 : 6.


8 + 6 = 14

3 u –> 180

14 u –> 180/3 x 14 = 840

b) There were 840 people.

[Tang]

Anne has $165 and Cally had $200 at first.

After spending an equal amount of money, Cally had twice as much money as Anne. How much money did each of them spend?



2 - 1 = 1

1 u –> 200 - 165 = $35

165 - 35 = $130

or 200 - 35 - 35 = $130

Each of them spent $130.

[Daddy]

Thanks Tang..