Q&A - P5 Math

[tianzhu]

SAHMwith2boys:

Hakim and Suresh had some money in the ratio of 13 : 8. When they each received $133, Hakim will have 4 times as much money as Suresh. How much did Hakim had at first?


Answer provided was $273.

Appreciate any help in giving the worked out solution. Thanks.

Hi

Good Morning.

I think \"received\" should be read as \"gave away\".

Hakim and Suresh had some money in the ratio of 13 : 8. When they each gave away $133, Hakim will have 4 times as much money as Suresh. How much did Hakim had at first?

The answer for the revised question is 273.

Best wishes

[clblinym]

tianzhu:

clblinym:

From the solution, I do not understand why the area of AOB + COD = that of AOC + BOD. Can somebody help to explain? TIA. Amy

Hi

The bases of AOB + COD are the same as the length of the rectangle (AB=CD).The sum of the heights of these two triangles is equal to the breadth of the rectangle (AC and BD).Hence, their combined areas is equal to half the area of the rectangle.

As an illustration, let the height of triangle AOB be h1 and the height of triangle COD be h2.

Area of triangle AOB ------ ½*AB*h1
Area of triangle COD ------ ½ *CD*h2

Both triangles have similar bases as AB=CD.
AB=CD=length of rectangle ABCD

Their sum of areas is equal to ½ *length of rectangle*(h1+h2), where (hi+h2) is equal to the breadth (AC and BD) of the rectangle.

Therefore, their areas is equal to ½ *CD*BD which is equal to half the area of the rectangle.

The same logic is applicable to the triangles AOC and BOD.

AOB + COD = half the area of rectangle

AOC + BOD = half the area of rectangle

Hence,the area of AOB + COD = that of AOC + BOD.

Best wishes

Tianzhu,

Now I and my son understand. I really appreciate your prompt and detailed explanation. Thank you very much.

[SAHMwith2boys]

tianzhu:

SAHMwith2boys:

Hakim and Suresh had some money in the ratio of 13 : 8. When they each received $133, Hakim will have 4 times as much money as Suresh. How much did Hakim had at first?


Answer provided was $273.

Appreciate any help in giving the worked out solution. Thanks.

Hi

Good Morning.

I think \"received\" should be read as \"gave away\".

Hakim and Suresh had some money in the ratio of 13 : 8. When they each gave away $133, Hakim will have 4 times as much money as Suresh. How much did Hakim had at first?

The answer for the revised question is 273.

Best wishes

Oh I see, thanks for the help.

[SAHMwith2boys]

Applelyn1:

MathIzzzFun:

[quote=\"Applelyn1\"]Hi I need help on this


Jewel bought some strawberries and wanted to put them into boxes. if she put 4 strawberries into each box, there would be 3 strawberries left. If she put 6 strawberries into each box, she would have 5 strawberries left.

A) if the number of strawberries was between 100 and 150, how many strawberries did Jewel buy?

B) Jewel decided to put all the strawberries equally into bass of 16. find th minimum number of bags that she would need.

Hi
More than 1 possible answers -
If packed into boxes of 4, 3 strawberries left --> if we add 1 more, the remainder can be packed into another box of 4

If packed into boxes of 6, 5 strawberries left --> if we add 1 more, the remainder can be packed into another box of 6.

So, if we add 1 more strawberry, the total number of strawberries can be packed into boxes of 4 or boxes of 6 exactly with no remainder --> total number is a multiple of both 4 & 6 --> multiple of 12
Multiples of 12 in the range of 100 to 150 --> 108, 120, 132, 144
Possible number of strawberries --> 107, 119, 131, 143



cheers.

Thanks, MathIzzzFun.[/quote]So is the child expected to answer with a list of possible amount or a specific amount? Base on the qn, it seems that there are only one answer. :?

[helenLim2011]

Can Someone help me at this Maths Problem? Its driving me NUTS


Jim and Fred had a total of $40. Jim gave 3/7 of his money to Fred. Fred then gave 1/6 of the total amount of money he had to Jim. In the end, each of them had the same amount of money. How much money did each of them have at first?

(This is a P5 Question so plse reply in a P5 manner of understanding!) Bless you for helping me out…

[zeemimi]

380 children. 1/6 of boys and 1/5 of girls wear glasses. total 70 children wear glasses. how many boys wear glasses?


anyone knows how to solve this question without using algebra? thanks very much.

[MathIzzzFun]

zeemimi:

380 children. 1/6 of boys and 1/5 of girls wear glasses. total 70 children wear glasses. how many boys wear glasses?


anyone knows how to solve this question without using algebra? thanks very much.

Hi

http://i42.tinypic.com/nvxovc.png\">

cheers.

[zeemimi]

mathizzzfun


tks so much. u made it look so simple. I olved it using algebra but thought that there must be something easier for p5.

[MathIzzzFun]

zeemimi:

mathizzzfun


tks so much. u made it look so simple. I olved it using algebra but thought that there must be something easier for p5.

u r welcome

have a great weekend !

cheers.

[Michaelia0816]

good method for P5 as they did not learnt algebra only next year will learn!