Tutor MathsGuru: Ask me for your burning Maths questions!

[Vanilla Cake]

ruyu:

Tom had $200 more than Harry. In the afternoon, Tom gave some money to Harry. The ratio to the amount he had left to the amount he gave away is 2:3. In the evening, Harry gave some money to Tom. The ratio of the amount he had left to the amount he gay away is 3:1. In the end, Harry had $200 more than Tom. How much did Tom have at first?

Before
T: u+$200
H: u

Tom
Left : Gave
2 : 3

T-> 2/5 of u + 2/5 of $200 = 2/5 of u + $80
H-> u + 3/5 of u + 3/5 of $200 = 8/5 of u + $120

Harry
Left : Gave
3 :1

H->3/4 of (8/5 of u + $120) = 6/5 of u + $90
T-> 2/5 of u + $80 + 1/4 x (8/5 of u + $120) = 4/5 of u + $110

In the end, Harry had $200 more than Tom.

4/5 of u + $110 + $200 = 6/5 of u + $90
2/5 of u = $220
u = $550

$(550+200) = $750
At first, Tom had $750.

[ruyu]

Vanilla Cake:

ruyu:

Tom had $200 more than Harry. In the afternoon, Tom gave some money to Harry. The ratio to the amount he had left to the amount he gave away is 2:3. In the evening, Harry gave some money to Tom. The ratio of the amount he had left to the amount he gay away is 3:1. In the end, Harry had $200 more than Tom. How much did Tom have at first?

Before
T: u+$200
H: u

Tom
Left : Gave
2 : 3

T-> 2/5 of u + 2/5 of $200 = 2/5 of u + $80
H-> u + 3/5 of u + 3/5 of $200 = 8/5 of u + $120

Harry
Left : Gave
3 :1

H->3/4 of (8/5 of u + $120) = 6/5 of u + $90
T-> 2/5 of u + $80 + 1/4 x (8/5 of u + $120) = 4/5 of u + $110

In the end, Harry had $200 more than Tom.

4/5 of u + $110 + $200 = 6/5 of u + $90
2/5 of u = $220
u = $550

$(550+200) = $750
At first, Tom had $750.

my answer $350 but can get methord marks

[ruyu]

Vanilla Cake:

ruyu:

Tom had $200 more than Harry. In the afternoon, Tom gave some money to Harry. The ratio to the amount he had left to the amount he gave away is 2:3. In the evening, Harry gave some money to Tom. The ratio of the amount he had left to the amount he gay away is 3:1. In the end, Harry had $200 more than Tom. How much did Tom have at first?

Before
T: u+$200
H: u

Tom
Left : Gave
2 : 3

T-> 2/5 of u + 2/5 of $200 = 2/5 of u + $80
H-> u + 3/5 of u + 3/5 of $200 = 8/5 of u + $120

Harry
Left : Gave
3 :1

H->3/4 of (8/5 of u + $120) = 6/5 of u + $90
T-> 2/5 of u + $80 + 1/4 x (8/5 of u + $120) = 4/5 of u + $110

In the end, Harry had $200 more than Tom.

4/5 of u + $110 + $200 = 6/5 of u + $90
2/5 of u = $220
u = $550

$(550+200) = $750
At first, Tom had $750.

is the other question doable?

[CoffeeCat]

ruyu:

a question that appeared from my exam i am remembering this with my best ability!


one more question , can you please check if there is a mistake my friends and i could not even get the answer! UNDOABLE!

Tom and Harry bought some cartons of soya bean drink and herbal tea. Tom bought 3/8 of the cartons. Both of them bought 48 more cartons of soya bean drink than herbal tea. Harry bought 2/5 of the soya bean drink and 1/2 of the herbal tea. How many cartons did Tom buy?

Thanks for your help!

hi I didnot bother working out but this is why I agree with you that it's undoable. (so perhaps the fault lies with 1/2 of herbal, perhaps it should be 1/3)
Harry bought 5/8 of the cartons, or 2/5 of soya and 1/2 of herbal.
Tom bought 3/8 of the cartons, or 3/5 of soya and 1/2 of herbal.
The first inconsistency is thaton the left hand side Harry bought more but on the right tombought more.
The second inconsistency is that ifboth bought 48 more soya cartons than herbal, and both bought 1/2 of herbalcartons, shouldn't they have bought the same number of soyacartons?

[ruyu]

CoffeeCat:

ruyu:

a question that appeared from my exam i am remembering this with my best ability!


one more question , can you please check if there is a mistake my friends and i could not even get the answer! UNDOABLE!

Tom and Harry bought some cartons of soya bean drink and herbal tea. Tom bought 3/8 of the cartons. Both of them bought 48 more cartons of soya bean drink than herbal tea. Harry bought 2/5 of the soya bean drink and 1/2 of the herbal tea. How many cartons did Tom buy?

Thanks for your help!

hi I didnot bother working out but this is why I agree with you that it's undoable.
Harry bought 5/8 of the cartons, or 2/5 of soya and 1/2 of herbal.
Tom bought 3/8 of the cartons, or 3/5 of soya and 1/2 of herbal.
The first inconsistency is thaton the left hand side Harry bought more but on the right tombought more.
The second inconsistency is that ifboth bought 48 more soya cartons than herbal, and both bought 1/2 of herbalcartons, shouldn't they have bought the same number of soyacartons?

yeah horrible setters zzzzzzzzzz

[CoffeeCat]

Is that your actual school exam? Wouldn’t that means no one will get that correct :o.

[ruyu]

CoffeeCat:

Is that your actual school exam? Wouldn't that means no one will get that correct :o.

Maybe will become like the PSLE 2005 get 2 marks or maybe 3?

[Dharma]

ruyu:

a question that appeared from my exam i am remembering this with my best ability!


Names differ


Tom had $200 more than Harry. In the afternoon, Tom gave some money to Harry. The ratio to the amount he had left to the amount he gave away is 2:3. In the evening, Harry gave some money to Tom. The ratio of the amount he had left to the amount he gay away is 3:1. In the end, Harry had $200 more than Tom. How much did Tom have at first?


Thanks for your help!

When Tom gave sone money to Harry
Tom : 5u - 3u = 2u
Harry : 5u - $200 + 3u = 8u - $200

When Harry gave some money to Tom
Harry : (8u - $200) - (2u - $50) = 6u - $150
Tom : 2u + (2u - $50) = 4u - $50

(6u - $150) - ( 4u - $50) = $200
2u = $200 + $150 - $50 = $300
1u = $150

Amt Tom had at first = 5u = 5 x $150 = $750

[littlecloud]

Hi Maths Monster and Vanilla Cake,

Thanks for your answers. You are really fast - I posted my question on Sunday 10 pm and got answers within 1/2 hour.

[wkong]

littlecloud:

Hi Maths Monster and Vanilla Cake,

Thanks for your answers. You are really fast - I posted my question on Sunday 10 pm and got answers within 1/2 hour.

Yeap! I agreed.. These maths gurus are fast in solving mathematics! Helps me alot when my P5 kid cant resolve his maths question. :thankyou: