Tutor MathsGuru: Ask me for your burning Maths questions!

[jieheng]

sanie:

Need help on this qn. Thanks.


The volume of water in bottle P was 3/5 of that in bottle Q. After 60ml of water was added to bottle P and 20ml was poured away from bottle Q, the amt of water in bottle P was 3/4 that in bottle Q.
What was the amt in each bottle at first?

Old ratio P : Q = 3 : 5
P [--][--][--] (= 3*[--])

Q [--][--][--][--][--] (=5*[--])

After 60ml of water was added to bottle P and 20ml was poured away from bottle Q
P [--][--][--] + [---60---]

Q [--][--][--][--][--] - [-20-]

New ratio P : Q = 3 : 4
P [--][-20-][--][-20-][--][-20-]

Q [--][-20-][--][-20-][--][-20-][--][-20-]

Compare the models of Q ,

[--][--][--][--][--] - [-20-] -----> [--][-20-][--][-20-][--][-20-][--][-20-]


[--] -----> 100

3*[--] -----> 300

5*[--] -----> 500

the amount of water in P at first = 300 ml (Ans)

the amount of water in Q at first = 500 ml (Ans)

[sanie]

jieheng:

sanie:

Need help on this qn. Thanks.


The volume of water in bottle P was 3/5 of that in bottle Q. After 60ml of water was added to bottle P and 20ml was poured away from bottle Q, the amt of water in bottle P was 3/4 that in bottle Q.
What was the amt in each bottle at first?

Old ratio P : Q = 3 : 5
P [--][--][--] (= 3*[--])

Q [--][--][--][--][--] (=5*[--])

After 60ml of water was added to bottle P and 20ml was poured away from bottle Q
P [--][--][--] + [---60---]

Q [--][--][--][--][--] - [-20-]

New ratio P : Q = 3 : 4
P [--][-20-][--][-20-][--][-20-]

Q [--][-20-][--][-20-][--][-20-][--][-20-]

Compare the models of Q ,

[--][--][--][--][--] - [-20-] -----> [--][-20-][--][-20-][--][-20-][--][-20-]


[--] -----> 100

3*[--] -----> 300

5*[--] -----> 500

the amount of water in P at first = 300 ml (Ans)

the amount of water in Q at first = 500 ml (Ans)

Thank you so much! Your model is much easier to understand

[MathIzzzFun]

softcoach:

Hi MathIzzzFun


Appreciate your help . Thanks !

Hi

you are welcome :lol:

cheers.

[Chan09]

Need help


2) a figure is made up of 2 identical squares. 1/6 of each square is shaded. What fraction of the whole figure is shaded?
Ans: 1/11

3) 3/5 are $50. 2/3 of the remainder are $10 and $5 notes and the rest are $2 notes. He had twenty four $2 notes. The number of $10 notes is 1/7 of the number of $5 notes. What is the number of $10 notes he has?
Ans: 4

Thank you :?

[starlight1968sg]

Chan09:

Need some help :stupid:


Harry and 5 friends share a cake equally for tea. If Harry gave away 2/3 of her share, what fraction of the cake had she left?
Ans: 1/18

Take the cake and divide into 6 parts.
So Harry gets 1/6 of the cake. Since she gave away 2/3 of her share, she has 1/3 * 1/6 = 1/18 of the cake left.

[violet04]

Hi, pls help to solve the following Maths sums with model, thks.



David had some apples in a box.
He sold 47 apples.
He bought another 25 apples and threw away 60 rotten ones.
He then had 123 apples left.
How many apples did David have at first.

[Jcong]

Alan, Ben, Caleb , Danny and Eric took part in a Weiqi competition. At the moment, the number of games played is shown below:


Alan has played 4 games
Ben has played 3 games
Caleb has played 2 games
Danny has played 1 game.

If all contestants are required to play against one another, how many game has Eric played so far?

A. 1
B. 2
C. 3
D. 4

[jieheng]

sanie:

Thank you so much! Your model is much easier to understand

Hi sanie ,

You are welcome.

Regards,

[MathIzzzFun]

Jcong:

Alan, Ben, Caleb , Danny and Eric took part in a Weiqi competition. At the moment, the number of games played is shown below:


Alan has played 4 games
Ben has played 3 games
Caleb has played 2 games
Danny has played 1 game.

If all contestants are required to play against one another, how many game has Eric played so far?

A. 1
B. 2
C. 3
D. 4

Hi

Hope this helps :lol:


http://postimage.org/image/27bw7orvo/

cheers.

[2cutis]

Hi,


We know 2 sq is 2x 2 and 2 cube is 2x2x2 but what’s the answer for 2 to the power of 50?