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[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.

[mrswongtuition]

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.

3/5 of Joel's savings means Joel has 5 units.
2/7 of Matthew's savings means Matthew has 7 units.
*The above units are not equal, so we cannot compare directly.

However, we know:
3 units of Joel = 2 units of Matthew.
x 2 ````````````` x 3
______________________________
J : M
6 : 6 (making them EQUAL)

Now, we do the same for the above units that have:
J : M
5 x 2 : 3 x 7
10: 21

DIfference in their savings: 11 units = 1/2 of Ben (which means that Ben has 22 units).

22units - 10units = 12units -> $24 (Joel saves $24 less than Ben)

Total amount: 10 + 21 + 22 = 53 units -> $106

[CJM]

mrswongtuition:

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.

3/5 of Joel's savings means Joel has 5 units.
2/7 of Matthew's savings means Matthew has 7 units.
*The above units are not equal, so we cannot compare directly.

However, we know:
3 units of Joel = 2 units of Matthew.
x 2 ````````````` x 3
______________________________



Hi Mrs Wong,

Thank you for the fast response, really appreciate it.

Pls correct me if I am wrong .....

12u = $24
1u = $2

Total : 10 + 21 + 22 = 53

53 x $2 = $106

Kindly explain if the above is correct.

Thanks

[mrswongtuition]

CJM:

mrswongtuition:

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.

3/5 of Joel's savings means Joel has 5 units.
2/7 of Matthew's savings means Matthew has 7 units.
*The above units are not equal, so we cannot compare directly.

However, we know:
3 units of Joel = 2 units of Matthew.
x 2 ````````````` x 3
______________________________



Hi Mrs Wong,

Thank you for the fast response, really appreciate it.

Pls correct me if I am wrong .....

12u = $24
1u = $2

Total : 10 + 21 + 22 = 53

53 x $2 = $106

Kindly explain if the above is correct.

Thanks

Opps!! Typed too fast and typed wrong final answer!!

Yes, it is:

22units - 10units = 12units -> $24 (Joel saves $24 less than Ben)

Total amount: 10 + 21 + 22 = 53 units -> $106

[CJM]

thank u : )

[CJM]

Alex spent 3/8 of his money while Alice spent 3/5 of her money in a carnival. They found that they have the same amount of money at the end of the carnival. After counting their money, they had a total of $725 left. How much money did Alex spend at the carnival?