Q&A - PSLE Math

[Neat]

Hi.


I have another question:

Ben, Ken and Jen received a sum of money from their grandparents. Ben received 50% more money than Ken. Ben and Ken each gave 30% of their money to Jen. As a result, Jen’s money increased by 20%. If Jen had $760 more than Ken in the end, how much did Jen receive from his grandparents?

Thanks

[MathIzzzFun]

Neat:

Hi.


I have another question:

Ben, Ken and Jen received a sum of money from their grandparents. Ben received 50% more money than Ken. Ben and Ken each gave 30% of their money to Jen. As a result, Jen's money increased by 20%. If Jen had $760 more than Ken in the end, how much did Jen receive from his grandparents?

Thanks

Hi

Ben --> 30 units, 30% --> 9u, left --> 21u
Ken --> 20u units, 30% --> 6u, left --> 14u
Total given to Jen --> 15u
20% of Jen --> 15u
120% of Jen --> 90u, 100% of Jen --> 75u

Jen had $760 more than Ken in the end,
90u-14u = 76u --> $760
1u --> $10
75 x $10 = $750

Jen received $750.

cheers.

[Neat]

MathIzzzFun:

Neat:

Hi.


I have another question:

Ben, Ken and Jen received a sum of money from their grandparents. Ben received 50% more money than Ken. Ben and Ken each gave 30% of their money to Jen. As a result, Jen's money increased by 20%. If Jen had $760 more than Ken in the end, how much did Jen receive from his grandparents?

Thanks

Hi

Ben --> 30 units, 30% --> 9u, left --> 21u
Ken --> 20u units, 30% --> 6u, left --> 14u
Total given to Jen --> 15u
20% of Jen --> 15u
120% of Jen --> 90u, 100% of Jen --> 75u

Jen had $760 more than Ken in the end,
90u-14u = 76u --> $760
1u --> $10
75 x $10 = $750

Jen received $750.

cheers.

Hi "MathIzzzFun":[quote=Hi \"MathIzzzFun\"]
Thanks for your help.

Actually, my son is always having problem with such questions.

He managed to do the 1st part of the following but doesn't how to continue.

Ben --> 3 units, 30% --> 0.9u
Ken --> 2 units, 30% --> 0.6u

I am really lost how to help him, please enlighten us how to get the correct concept and able to solve the questions.

Thanks

[MathIzzzFun]

Neat:

MathIzzzFun:

[quote=\"Neat\"]Hi.


I have another question:

Ben, Ken and Jen received a sum of money from their grandparents. Ben received 50% more money than Ken. Ben and Ken each gave 30% of their money to Jen. As a result, Jen's money increased by 20%. If Jen had $760 more than Ken in the end, how much did Jen receive from his grandparents?

Thanks

Hi

Ben --> 30 units, 30% --> 9u, left --> 21u
Ken --> 20u units, 30% --> 6u, left --> 14u
Total given to Jen --> 15u
20% of Jen --> 15u
120% of Jen --> 90u, 100% of Jen --> 75u

Jen had $760 more than Ken in the end,
90u-14u = 76u --> $760
1u --> $10
75 x $10 = $750

Jen received $750.

cheers.

Hi "MathIzzzFun":[quote=Hi \"MathIzzzFun\"]
Thanks for your help.

Actually, my son is always having problem with such questions.

He managed to do the 1st part of the following but doesn't how to continue.

Ben --> 3 units, 30% --> 0.9u
Ken --> 2 units, 30% --> 0.6u

I am really lost how to help him, please enlighten us how to get the correct concept and able to solve the questions.

Thanks[/quote]

Hi
Basically the solution will be the same using Ben --> 3 units, just apply a factor of 10.

I have pm you.

cheers.

[isetan]

Hi, can someone help with this question:


Some workers arranged chairs in 18 short rows and 7 long rows. Each long row had 32 more chairs than each short row. Half of the chairs were arranged in long rows while 3/7 of the chairs were arranged in short rows. The remaining chairs were stacked in a corner.
(a)What fraction of the chairs were stacked in a corner?
(b)How many chairs were arranged in rows?

TIA.

[atutor2001]

isetan:

Hi, can someone help with this question:


Some workers arranged chairs in 18 short rows and 7 long rows. Each long row had 32 more chairs than each short row. Half of the chairs were arranged in long rows while 3/7 of the chairs were arranged in short rows. The remaining chairs were stacked in a corner.
(a)What fraction of the chairs were stacked in a corner?
(b)How many chairs were arranged in rows?

TIA.

Let me exercise my decaying brain

1/2 = 7/14 of total chairs were in 7 long rows
3/7 = 6/14 of total chairs were in 18 short rows
(a) 14/14 - 7/14 - 6/14 = 1/14 of total chairs were stacked in a corner

If the total no. of chairs was divided into 14 parts,

7 parts (7/14) of total chairs = chairs in 7 long rows
1 part (1/14) of total chairs = chairs in 1 long row
1 part (1/14) of total chairs = chairs in 1 short rows + 32

6 part (6/14) of total chairs = chairs in 18 short row
but
1 part (1/14) of total chairs = chairs in 1 short rows + 32
6 part (6/14) of total chairs = chairs in 6 short row + 192 [note : 32 x 6 = 192]

So Chairs in 18 short row = Chairs in 6 short row + 192
so Chairs in 12 short row = 192
so Chairs in 1 short row = 192/12 = 16 chairs

1 part (1/14) of total chair = Chairs in 1 short row +32 = 16 + 32 = 48
Total chairs arranged in rows = 14 parts = 48 x 14 =672

[isetan]

atutor2001:

isetan:

Hi, can someone help with this question:


Some workers arranged chairs in 18 short rows and 7 long rows. Each long row had 32 more chairs than each short row. Half of the chairs were arranged in long rows while 3/7 of the chairs were arranged in short rows. The remaining chairs were stacked in a corner.
(a)What fraction of the chairs were stacked in a corner?
(b)How many chairs were arranged in rows?

TIA.

Let me exercise my decaying brain

1/2 = 7/14 of total chairs in 7 long rows
3/7 = 6/14 of total chairs in 18 short rows
(a) 14/14 - 7/14 - 6/14 = 1/14 of total chairs were stacked in a corner

If the total no. of chairs is divided into 14 parts,

7 parts (7/14) of total chairs = 7 long rows
1 part (1/14) of total chairs = 1 long row
1 part (1/14) of total chairs = 1 short rows + 32

6 part (6/14) of total chairs = 18 short row
but
1 part (1/14) of total chairs = 1 short rows + 32
6 part (6/14) of total chairs = 6 short row + 192

So 18 short row = 6 short row + 192
so 12 short row = 192
so 1 short row = 192/12 = 16 chairs

1 part (1/14) of total chair = 1 short row +32 = 16 + 32 = 48
Total chairs in rows = 14 parts = 48 x 14 =672

Thanks atutor2001,

Your brain is not decaying but rather an active one. Thanks for the ans.

[MathIzzzFun]

isetan:

Hi, can someone help with this question:


Some workers arranged chairs in 18 short rows and 7 long rows. Each long row had 32 more chairs than each short row. Half of the chairs were arranged in long rows while 3/7 of the chairs were arranged in short rows. The remaining chairs were stacked in a corner.
(a)What fraction of the chairs were stacked in a corner?
(b)How many chairs were arranged in rows?

TIA.

Hi

..MD & units approach...

http://i50.tinypic.com/2hnc6fr.png\">

cheers.

[isetan]

MathIzzzFun:

isetan:

Hi, can someone help with this question:


Some workers arranged chairs in 18 short rows and 7 long rows. Each long row had 32 more chairs than each short row. Half of the chairs were arranged in long rows while 3/7 of the chairs were arranged in short rows. The remaining chairs were stacked in a corner.
(a)What fraction of the chairs were stacked in a corner?
(b)How many chairs were arranged in rows?

TIA.

Hi

..MD & units approach...

http://i50.tinypic.com/2hnc6fr.png\">

cheers.

Thanks mathizzzfun!

[atutor2001]

isetan:

Thanks atutor2001,

Your brain is not decaying but rather an active one. Thanks for the ans.

Sorry, confirmed chopped chopped that my brain is decaying. My answer is wrong. What I have given was the total number of chairs and not the \"chairs arranged in row\".

So the correct answer is :
1 part (1/14) of total chair = 1 short row +32 = 16 + 32 = 48
Total chairs in rows = 14 - 1=13 parts = 48 x 13 =624

MathIzzFun's answer is the correct one. :salute: