Tutor MathsGuru: Ask me for your burning Maths questions!

[Yu Xuan]

hashroop:

Pls help :

The volume of a rectangular tank is 162litters. It's length is twice its breadth and 2/3 its height. Find the length of the tank.
Maths guru kindly help.
Greatly appreciated

Length --> 2 units
Breadth --> 1 unit
Height --> 3 units

162 L --> 162000 cm3

2u * 1u * 3u --> 162000
6 * u * u * u --> 162000
u * u * u --> 162000 / 6 =27000
30 * 30 * 30 --> 27000

Hence , 1 unit is 30cm.
Length --> 2 units * 30cm = 60cm

Yu Xuan

[peterch]

Yu Xuan:

peterch:

Please help me with P5 math :


Ms Tham distributed a packet of sweets among a group of pupils.
If she gave out 11 sweets to each pupil, the last pupil received only 6 sweets.
If she gave out 8 sweets to each pupil, there would be 34 sweets left over.
A. How many pupils were there?
B. How many sweets were there?

Thanks in advance

By giving each pupil 3 sweets more, a total of 39 sweets (34 + 5) is required.

a) Hence, the number to students is
39 / 3 = 13

b) 13 * 8 + 34 = 138

Yu Xuan

Hi, thanks a lot for your kind help

[Florence88]

Mathsguru

thanks in advance


Q1. there are 32 visitors in the auditorium. 2/5 of the men and 1/4 of the women were from Singapore. Total number of visitors who came from Singapore was 11. how many men came from Singapore

[iFruit]

Florence88:

Mathsguru

thanks in advance


Q1. there are 32 visitors in the auditorium. 2/5 of the men and 1/4 of the women were from Singapore. Total number of visitors who came from Singapore was 11. how many men came from Singapore

Let men in auditorium = 5m---> Men from s'pore = 2m
Let women in auditorium = 4w---> women from s'pore = w

5m+4w = 32
2m+w = 11--->8m + 4w = 44

from the above 2 equations, 3m = 12--> m =4

men from s'pore = 2m = 8

HTH

[hashroop]

iFruit:

hashroop:

Pls help :

The volume of a rectangular tank is 162litters. It's length is twice its breadth and 2/3 its height. Find the length of the tank.
Maths guru kindly help.
Greatly appreciated

Let breadth = b
length = 2b
height = 3/2 (2b) = 3b

volume = length x breadth x height = 2b x b x 3b = 6xbxbxb = 162---->b x b x b=27 = 3x3x3----> b=3

length = 2b =6

HTH.

Dear Ifruit, thanks a ton! explanations were clear.

[hashroop]

Yu Xuan:

hashroop:

Pls help :

The volume of a rectangular tank is 162litters. It's length is twice its breadth and 2/3 its height. Find the length of the tank.
Maths guru kindly help.
Greatly appreciated

Length --> 2 units
Breadth --> 1 unit
Height --> 3 units

162 L --> 162000 cm3

2u * 1u * 3u --> 162000
6 * u * u * u --> 162000
u * u * u --> 162000 / 6 =27000
30 * 30 * 30 --> 27000

Hence , 1 unit is 30cm.
Length --> 2 units * 30cm = 60cm

Yu Xuan

Dear Yu Xuan, thanks a million! explanations were clear and precise.

[CJM]

$260 is to be divided among a certain number of people. If half of the people receive $3 each, one-eighth of the people receive $2 each and the rest $4 each, how many people are there altogether ?

[mrswongtuition]

CJM:

$260 is to be divided among a certain number of people. If half of the people receive $3 each, one-eighth of the people receive $2 each and the rest $4 each, how many people are there altogether ?

Divide the people into 8 units (based on 1/8 of the people):
1/2 => 4 units (recieved $3 each) x $3 = $12u
1/8 => 1 unit (recieved $2 each) x $2 = $2u
Remaining => 8 - 4 - 1 = 3u (received $4 each) x $4 = $12u

Total amount of money = $260 => $12u + $2u + $12u = $26u

$26 u -> 260
$1 u -> 260/6 = 10

Altogether there were 8 units of people

8 u -> 80 people

[CJM]

mrswongtuition:

CJM:

$260 is to be divided among a certain number of people. If half of the people receive $3 each, one-eighth of the people receive $2 each and the rest $4 each, how many people are there altogether ?

Divide the people into 8 units (based on 1/8 of the people):
1/2 => 4 units (recieved $3 each) x $3 = $12u
1/8 => 1 unit (recieved $2 each) x $2 = $2u
Remaining => 8 - 4 - 1 = 3u (received $4 each) x $4 = $12u

Total amount of money = $260 => $12u + $2u + $12u = $26u

$26 u -> 260
$1 u -> 260/6 = 10

Altogether there were 8 units of people

8 u -> 80 people

thank U : )

[CJM]

3/5 of Joel’s savings is equal to 2/7 of Matthew’s savings. The difference in their saving is equal to 1/2 of Ben’s savings. Joel saves $24 less than Ben.


Find the total amount of saving of the 3 boys.