Tutor MathsGuru: Ask me for your burning Maths questions!

[MathIzzzFun]

wahwah:

wahwah:

Mark spent 2/3 of his money on 3 cups and 3 plates and 1/4 of the remaining money on 2 napkins. Each cup costs 1/7 as much as each plate. Each napkin costs $7 more than each cup. How much money did Mark spend on each plate?

Hi all,
any suggestion how to solve this question? Help greatly appreciated.

Hi

3C + 3P = 2/3 = 24/36 of money
1P = 7C, 24C = 24/36 of money,
1C = 1/36 of money
1P = 7/36 of money
1N = 1/36 of money + $7 = 1/2 x 1/4 x 1/3 of money = 1/24 of money
so (1/24 - 1/36) of money = $7
1/72 of money = $7, 1/36 of money = $14

1N = 1/36 of money + $7 = $ 14 + $ 7 = $21

cheers.

[Dreamerz]

Thank you Math Guru!

[MathIzzzFun]

Dreamerz:

Thank you Math Guru!

u r welcome.. btw, I m not mathsguru, not a math guru either cos there are still a lot to learn

bon weekend !

cheers.

[wahwah]

Hi MathIzzzFun,

Thanks for the solution. Can you explain the following part of the working

1N = 1/36 of money + $7 = 1/2 x 1/4 x 1/3 of money = 1/24 of money

How do we get 1/2x1/4x1/3?

Thanks!

[gijg]

MathIzzzFun:

rainbow75:

thank you for your help. there is another speed question.


Mr Tan drove from city X to city Y.At the same time,Mr Koh drove from city Y to city X.They passed each other 64 km away from city Y and continued their journeys. They made a u-turn upon reaching their destinations so that they could return to their own cities. They passed each other again 52 km away from city X.Find the distance between the two places when they met each other.

Hi

Can you explain why they meet at 52km away from city x, should the total distance be 3XY and not 2XY as in ur working. Thank You :salute:

http://i51.tinypic.com/2hezqit.jpg\">

cheers.

[andante]

gijg:

MathIzzzFun:

Hi

Can you explain why they meet at 52km away from city x, should the total distance be 3XY and not 2XY as in ur working. Thank You :salute:

http://i51.tinypic.com/2hezqit.jpg\">

cheers.

Hi,
Am I right to say 2XY is the total distance they travelled after they met at A ? BTW, why is distance travelled by Mr Koh from A to B = 2x64 ??

Thx

[rainbow75]

Hi, mathsguru I don’t understand why it is 64 2 -522=24 is the answer for the speed question.

[rainbow75]

my kid came back with the working for the first speed question which I have asked earlier , i don’t understand can you please explain?

60 mins ----20 km
10 mins ---- 20km÷ 60 = 3 1/3
40 km ÷3 1/3 =12
12× 10 min= 120 min
120min ÷2 =60
60 +20 =80
Can you explain the logic on this working? thank you

[MathIzzzFun]

wahwah:

Hi MathIzzzFun,

Thanks for the solution. Can you explain the following part of the working

1N = 1/36 of money + $7 = 1/2 x 1/4 x 1/3 of money = 1/24 of money

How do we get 1/2x1/4x1/3?

Thanks!

Hi

Mark spent 1/4 of the remaining money on 2 napkins

remaining money = 1/3 of money
so 2 napkins = 1/4 x 1/3 of money
1 napkin = 1/2 x 1/4 x 1/3 of money

cheers.

[MathIzzzFun]

gijg:

MathIzzzFun:

[quote=\"rainbow75\"]thank you for your help. there is another speed question.


Mr Tan drove from city X to city Y.At the same time,Mr Koh drove from city Y to city X.They passed each other 64 km away from city Y and continued their journeys. They made a u-turn upon reaching their destinations so that they could return to their own cities. They passed each other again 52 km away from city X.Find the distance between the two places when they met each other.

Hi

Can you explain why they meet at 52km away from city x, should the total distance be 3XY and not 2XY as in ur working. Thank You :salute:

http://i51.tinypic.com/2hezqit.jpg\">

cheers.

[/quote]Hi

When they first meet at A, the total distance travelled is XY (refer to the two straight green and blue arrows)

After they meet, Mr Tan travelled from A - Y - B, and Mr Koh travelled from A-X-B and the total distance ie A-Y-B + A-X-B, is 2XY.

cheers.