Tutor MathsGuru: Ask me for your burning Maths questions!

[Neat]

MathIzzFun:

Musicstar:

Dear all,


Please help me these question. Thank you.

1) In May, the ratio of Karen's weight to Huiyu's weight was 6:5. In June , Huiyu put on 5kg and Karen lost 3kg. As a result, both of them had the same weight. What was Huiyu's weight in May?

2)The ratio of the number of Sally's stickers to the number of Willy's stickers was 4:1. After Sally bought another 13 stickers and Willy received 7 more stickers from his teacher, the ratio of Sally's stickers to Willy's stickers became 3:1 . How many stickers did Sally have at first?

3) Peter, Ali and Samy shared some marbles in the ratio of 2:4:7. They decided to play some games with their marbles in the playground. In the first game, Samy lost 8 marbles to Peter. Peter then had the same number of marbles as Ali. In the second game, Samy won some marbles from Ali but Ali lost some of his marbles in the tall grass and could not find them. The new ratio of marbles among the three boys was
Peter : Ali : Samy
2 : 1 : 3

(a) How many marbles did Peter have after the 1st game?
(b) How many more marbles does Samy have then Ali after 2nd game?

Hi

MD for Q2.

http://www.flickr.com/photos/62167097@N02/5656803790/in/photostream/

Q1.
In May,
Karen's weight : HuiYu's weight
= 6 U : 5 U

In Jun,
6U - 3 = 5U + 5
1 U = 5 + 3 = 8 kg

HuiYu's weight in May = 5U = 5 x 8 = 40kg

Q3.
Initially,
Peter : Ali : Samy
= 2u : 4u : 7u

After first game, Peter had same number of marbles as Ali after winning 8 marbles from Samy
so Peter : Ali : Samy = 4u : 4u : 5u
2u = 8 marbles ==> 1u = 4 marbles

1) After first game, Peter had 4u = 4 x 4 = 16 marbles

In the end,
Peter : Ali : Samy
= 2 : 1 : 3
= 4u : 2u : 6u (since there was no change to Peter's number of marbles, Peter still had 4u)

Samy had 4u more than Ali in the end.
4 u = 16 marbles
2) Samy had 16 marbles more than Ali

cheers.

[quote]Hi Mathsguru

I got a question which I solve by using Algebra. Please give me in answering with models.

Q: Raju and Samy went shopping with a total of $675. After spending some money, the amount Raju had left was five times the amount he spent and the amount Samy had left was four times the amount he spent. If both of them had a total of $553 left.

a) how much did Raju have at first?

b) how much did Samy spend?

Thanks in advance.[quote]

[speedmaths.012624com]

[quote]

I got a question which I solve by using Algebra. Please give me in answering with models.

Q: Raju and Samy went shopping with a total of $675. After spending some money, the amount Raju had left was five times the amount he spent and the amount Samy had left was four times the amount he spent. If both of them had a total of $553 left.

a) how much did Raju have at first?

b) how much did Samy spend?

Thanks in advance.[quote][/quote][/quote]=

Solution:
(Using the \"Bags and Boxes Method\" found in Raffles Maths Tricks – Vol 1):

Let Raju put his money in 6 Bags (at first).
Spent = 1 Bag
Left = 5 Bags
(For Bags - draw Circles)

Let Samy put his money in 5 Boxes (at first).
Spent = 1 Box
Left = 4 Boxes
(For Boxes - draw Squares)

6 Bags + 5 Boxes = $675 (at first)
5 Bags + 4 Boxes = $553 (left)
1 Bag + 1 Box = $675 - $553 = $122 (Spent)

4 Bags + 4 Boxes = 4 x $122 = $488
1 Bag + 0 Box = $553 - $488 = $65
6 Bags = 6 x $65 = $390 (Ans A)

1 Box = $122 - $65 = $57 (Ans B)

[SoWoW]

hi need help for the following math question.


Q: In a soccer stadium , the number of female to male spectators is 3 : 7. After 287 female and 287 males left the stadium, the ratio of female to male spectators became 2 : 5. How many spectators were there at first?

[MathIzzzFun]

SoWoW:

hi need help for the following math question.


Q: In a soccer stadium , the number of female to male spectators is 3 : 7. After 287 female and 287 males left the stadium, the ratio of female to male spectators became 2 : 5. How many spectators were there at first?

Hi

Hope this helps :lol:

http://www.flickr.com/photos/62167097@N02/5663565258/in/photostream

cheers.

[fxchow]

Hi All,


Can anyone help on this question, thanks!

Mdm Zheong packed some beads into 14 small boxes and 15 big boxes.
There were equal number of beads in each small box and equal number of beads in each big box.
Each big box contained 5 more beads than each small box.
3/8 of the beads were packed in small boxes.
How many beads were there in each small box?

fxchow

[MathIzzzFun]

fxchow:

Hi All,


Can anyone help on this question, thanks!

Mdm Zheong packed some beads into 14 small boxes and 15 big boxes.
There were equal number of beads in each small box and equal number of beads in each big box.
Each big box contained 5 more beads than each small box.
3/8 of the beads were packed in small boxes.
How many beads were there in each small box?

fxchow

Hi

Hope this helps

http://www.flickr.com/photos/62167097@N02/5664739745/in/photostream

cheers.

[fxchow]

MathIzzzFun:

fxchow:

Hi All,


Can anyone help on this question, thanks!

Mdm Zheong packed some beads into 14 small boxes and 15 big boxes.
There were equal number of beads in each small box and equal number of beads in each big box.
Each big box contained 5 more beads than each small box.
3/8 of the beads were packed in small boxes.
How many beads were there in each small box?

fxchow

Hi

Hope this helps

http://www.flickr.com/photos/62167097@N02/5664739745/in/photostream

cheers.

Hi MathIzzzFun,

Thanks for your solution.

fxchow

[Jcong]

There were 280 people at the concert. 1/4 of the males and 1/5 of the females wore glasses. Given that a total of 60 people wore glasses in the concert, how many female wore glasses?

[sleepy]

56 :scratchhead:

[MathIzzFun]

Jcong:

There were 280 people at the concert. 1/4 of the males and 1/5 of the females wore glasses. Given that a total of 60 people wore glasses in the concert, how many female wore glasses?

Hi

Hope this helps

http://www.flickr.com/photos/62167097@N02/5672284885/in/photostream
cheers.