Tutor MathsGuru: Ask me for your burning Maths questions!

[Maths Monster]

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[littlecloud]

Hi,

I have 2 separate maths question that I need help to solve:
(1) Tom and Jerry each has some money. If Tome spends $90 per day and Jerry spends $45 each day, Tom will have $1100 left when Jerry has spent all his money. If Tom spends $45 each day and Jerry spends $90 each day, Tom will have $1700 left when Jerry has spent all his money. How much did Jerry have?
Answer is $400, but how to get that?

(2) A, B, C and D each have some money. The amount of money A has is 1/3 of the total amount of money B, C and D have. The amount of money B has is 1/4 the amount of money A, C and D have. The amount of money C has is 1/5 the amount of money A, B and D have. If D has $1725, how much do they have altogether?

Thanks for helping.

[Maths Monster]

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[Vanilla Cake]

littlecloud:

Hi,

I have 2 separate maths question that I need help to solve:
(1) Tom and Jerry each has some money. If Tome spends $90 per day and Jerry spends $45 each day, Tom will have $1100 left when Jerry has spent all his money. If Tom spends $45 each day and Jerry spends $90 each day, Tom will have $1700 left when Jerry has spent all his money. How much did Jerry have?
Answer is $400, but how to get that?

(2) A, B, C and D each have some money. The amount of money A has is 1/3 of the total amount of money B, C and D have. The amount of money B has is 1/4 the amount of money A, C and D have. The amount of money C has is 1/5 the amount of money A, B and D have. If D has $1725, how much do they have altogether?

Thanks for helping.

Hi littlecloud,
Mathsguru had provided her solutions for your 2 questions on http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=6373&postdays=0&postorder=asc&start=780.
http://www.postimage.org/image.php?v=gxtwwpi
http://www.postimage.org/image.php?v=gxtwyUr

[Maths Monster]

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[Dharma]

littlecloud:

Hi,

I have 2 separate maths question that I need help to solve:
(1) Tom and Jerry each has some money. If Tome spends $90 per day and Jerry spends $45 each day, Tom will have $1100 left when Jerry has spent all his money. If Tom spends $45 each day and Jerry spends $90 each day, Tom will have $1700 left when Jerry has spent all his money. How much did Jerry have?
Answer is $400, but how to get that?


Thanks for helping.

Jerry will take twice as long to spend his money if he spends $45/day as compared to $90/day.
If Jerry spends $45/day, amount Tom and Jerry would have had at first.
Tom : $1100 + $90(2 units)
Jerry : $45(2 units)

If Jerry spends $90/day, amount Tom and Jerry would have had at first.
Tom : $1700 + $45(1 unit)
Jerry : $90(1 unit)

$1100 + $180units = $1700 + $45units
$135units = $600
1 unit = $600/ $135 = 40/9 days

Amt Jerry had at first = $90 x 40/9 = $400

[Dharma]

littlecloud:

Hi,


(2) A, B, C and D each have some money. The amount of money A has is 1/3 of the total amount of money B, C and D have. The amount of money B has is 1/4 the amount of money A, C and D have. The amount of money C has is 1/5 the amount of money A, B and D have. If D has $1725, how much do they have altogether?

Thanks for helping.

If A has 1/3 of the amt of money that B, C and D have, the A has ¼ of the total amount of money all 4 of them have.
A/(B + C + D) = 1/3
A/ (A + B + C + D) = 1/(1+3) = 1/4
A : ¼
B : 1/5
C : 1/6
D : $1725

Fraction of D = 1 – ¼ - 1/5 – 1/6 = 60/60 – 15/60 – 12/60 – 10/60 = 23/60

23u = $1725
1u = $75
Amt they had altogether = 60u = 60 x $75 = $4500

[YLH88]

Hi Maths Monster,


Thank you very much!!

[pineapple tarts]

Hi


There are 8 trees. The distance between each tree is 100m.
What is the distance between the first to the last tree?
Dunno why I can’t get the correct answer. Pls advice. Many thanks!

[adhdadhd]

pineapple tarts:

Hi


There are 8 trees. The distance between each tree is 100m.
What is the distance between the first to the last tree?
Dunno why I can't get the correct answer. Pls advice. Many thanks!

1st - 100m - 2nd - 100m - 3rd .... 8th

1st to 3rd tree 200m,..

1st to 8th tree should be 700m, right?