Tutor MathsGuru: Ask me for your burning Maths questions!

[stuckinratio]

Hi, just learn that the q on the cake and cream puff is flawed. The q should read as 'The no of cakes was twice the no of cream puffs. After 180 cakes and 42 cream puffs were sold, the ratio of the no of cakes left to the no of cream puffs was 2:5. How many cakes and cream puffs were in the shop at first?


the answer is 306.

[Muffins]

oh… ya… ya… thanks for the clarification, stuckinratio.

[leesf]

Dharma:

leesf:

Hi Mathsguru,


I have a question.

A & B share some beads. If A gives B 1/3 of his share, B would have 70 beads more than A. If A gives B 1/5 of his share, B would ahve 10 beads more than A. How many beads do A have at first?

Thanks

If A gives B 1/3 of his share
At last
A : 15units – 5 unit = 10 units
B : 10 units + 70

At first
A : 15 units
B : 10 units + 70 – 5 unit = 5 units + 70

If A gives B 1/5 of his share
At last
A = 15units – 3 units = 12 units
B = 12 units + 10

At first
A : 15 units = 225
B = 12 units + 10 – 3 units = 9 units + 10

The no. of beads that A or B had at first must be the same for both the conditions.

5 units + 70 = 9 units + 10
4 units = 60
1 unit = 15

No. of beads that A had at first = 15 x 15 = 225

Hi Dharma,

Thanks for your answer. When A gives 1/5 of this share to B which is equivalent to 3 units, why B has got 9 units+10? Shouldn't B gets 3 units+10?

[firebird]

Good morning


Kindly help me on the following P6 maths:

A fruit seller had a total of 204 red and green apples in the ratio of 9:8.
After he sold an equal number of each type of apple, the number of red and green apples left was in the ratio of 9:5. How many apples did he sell altogether?

[Dharma]

leesf:

Dharma:

[quote=\"leesf\"]Hi Mathsguru,


I have a question.

A & B share some beads. If A gives B 1/3 of his share, B would have 70 beads more than A. If A gives B 1/5 of his share, B would ahve 10 beads more than A. How many beads do A have at first?

Thanks

If A gives B 1/3 of his share
At last
A : 15units – 5 unit = 10 units
B : 10 units + 70

At first
A : 15 units
B : 10 units + 70 – 5 unit = 5 units + 70

If A gives B 1/5 of his share
At last
A = 15units – 3 units = 12 units
B = 12 units + 10

At first
A : 15 units = 225
B = 12 units + 10 – 3 units = 9 units + 10

The no. of beads that A or B had at first must be the same for both the conditions.

5 units + 70 = 9 units + 10
4 units = 60
1 unit = 15

No. of beads that A had at first = 15 x 15 = 225

Hi Dharma,

Thanks for your answer. When A gives 1/5 of this share to B which is equivalent to 3 units, why B has got 9 units+10? Shouldn't B gets 3 units+10?[/quote]
When A gives B 1/5 of his share which is 3 units , B will have 12 units + 10 (because A will have 12 units at last & B will have 10 more beads than – mentioned in Qns)

If at last B had 12 unit + 10. So before receiving 3 units from A, B would have had 12 units + 10 – 3 units = 9 units + 10.

[Dharma]

firebird:

Good morning


Kindly help me on the following P6 maths:

A fruit seller had a total of 204 red and green apples in the ratio of 9:8.
After he sold an equal number of each type of apple, the number of red and green apples left was in the ratio of 9:5. How many apples did he sell altogether?

At first
Red : 108
Green : 96

At last
Red : 108 – 1 unit = 9 parts
Green : 96 – 1 unit = 5 parts

96 – 5 parts = 108 – 9 parts
4 parts = 12
1 part = 3

1 unit = 108 – (9 x 3) = 81

No. of apples sold = 2 units = 81 x 2 = 162

[mathsguru]

Dear all,


Apologies for being MIA for these few weeks!! :imsorry:

My comp went bonkers :frustrated: And I finally it got repaired after CNY. Glad to see that most questions got solved by other helpful souls like Big Devil, Dharma and Tianzhu. However, as I really feel bad for not chipping in timely, I've run thru the outstanding questions since my comp went dead and came up with the solutions. Hope they can serve to reinforce the solutions provided in some way or another.

Lastly, Happy CNY everyone~~ Enjoy the last bits for those who celebrate...


MathsGuru

[mathsguru]

sachiko:

Dear MathsGuru


Please guide me to solve this problem sum:

A tank and a pail have a total of 8346ml of water. If 314ml of water was poured from the pail to the tank, the amount of water in the tank is 12 times more than the pail. What is the volume of the pail at first?

Thank you.

Hi Sachiko,

Here's my solution.

http://www.postimage.org/image.php?v=aVvUU1i

Cheers,
MathsGuru

[mathsguru]

YLH88:

Hi Mathsguru,


2) Kylie and Julie had an equal amount of money. Each day, Kylie spent $6 and Julie spent $10. When Julie had $18 left, Kylie had 3 times as much money left as Julie. How much money did each of them have at first ?

3) Peter, James and Ron shared to buy a box of chocolates. Peter paid 2/7 the total amount paid by James and Ron. Peter paid 3/4 the amount Ron paid. If Ron paid $8 more than Peter, how much money did James pay for the chocolates ?

Hi YLH88,

Here are my solutions.

Cheers,
MathsGuru

http://www.postimage.org/image.php?v=aVvV2_S

http://www.postimage.org/image.php?v=aVvV5v0

[mathsguru]

MMM:

I've a question :


The cost of 2 soccer balls and 3 basketballs is $190. The cost of 3 soccer balls and 4 basketballs is $265. What is the cost of 1 basketball and 1 soccer ball respectively?

Hi MMM,

Here's my solution.

Cheers,
MathsGuru

http://www.postimage.org/image.php?v=gx36rCS