Tutor MathsGuru: Ask me for your burning Maths questions!

[Ngserene617]

Hi MathsGuru,

Pls help to solve these for me:

1. Nigel has $145. He donated 2/5 to charity. Of the remainder, he gave 1/6 to his sister. How much did he give to his sister ?

2. Mary bought a leather bag with 3/7 of her money. She spent the remainder on 14 pairs of socks which cost $6 each pair. How much was the leather bag?

Thanks !

:welcome:

Dear Parents,

Are you frustrated/stuck when helping your child solve his/her Maths questions? Are you inclined to use Algebra most of the time? Do you have difficulty trying to use diagrams or other heuristic methods (that Primary School students learn) to solve?

:idea: Post your questions here and see how MathsGuru solve them to the best of her ability. Detailed solutions will be posted back in this thread.

So start asking and watch this space!!

Cheers :celebrate: ,
MathsGuru

P/S (Disclaimer, in case you're wondering...):
Although MathsGuru is a full-time Maths tutor, this thread is meant to be an absolutely free resource for parents (or even children) with no strings attached. Just someone who's passionate about Maths and wanna spread the fun in learning Maths with others. :D[/quote]

[Dharma]

Ngserene617:

Another question 4)


2/5 of Limin's money can buy 40 books. How many books can she buy with 3/4 of her money?

Thanks !

2/5 =8/20
¾ = 15/20

2/5 (or 8/20) of her money => 40 books
1/20 of her money => 5 books

So,
¾ (or 15/20) of her money => 15 x 5 = 75 books

[Dharma]

Ngserene617:

Hi MathsGuru,

Pls help to solve these for me:

1. Nigel has $145. He donated 2/5 to charity. Of the remainder, he gave 1/6 to his sister. How much did he give to his sister ?

2. Mary bought a leather bag with 3/7 of her money. She spent the remainder on 14 pairs of socks which cost $6 each pair. How much was the leather bag?

Thanks !

Q1)
Remainder after donating to charity = 3/5 x $145 = $87
Gave to sister => 1/6 x $87 = $14.50

Q2)

Remainder after buying leather bag => 14 x $6 = $84

Remainder => 4/7 of her money = $84
Cost of leather bag => 3/7 of her money = $84/4 x 3 = $63

[Ngserene617]

Hi MathsGuru,

I need ur help for another questions:

1.Nigel and Kimberly have $820 altogether. Nigel has $60 more than Kimberly. What fraction is Nigel's money of the total?

2. There are 567 students in a school. 4/7 are boys and the rest are girls. There are 9 times as many girls as there are teachers. How many teachers are there ?

Thanks again !

:welcome:

Dear Parents,

Are you frustrated/stuck when helping your child solve his/her Maths questions? Are you inclined to use Algebra most of the time? Do you have difficulty trying to use diagrams or other heuristic methods (that Primary School students learn) to solve?

:idea: Post your questions here and see how MathsGuru solve them to the best of her ability. Detailed solutions will be posted back in this thread.

So start asking and watch this space!!

Cheers :celebrate: ,
MathsGuru

P/S (Disclaimer, in case you're wondering...):
Although MathsGuru is a full-time Maths tutor, this thread is meant to be an absolutely free resource for parents (or even children) with no strings attached. Just someone who's passionate about Maths and wanna spread the fun in learning Maths with others. :D[/quote]

[Ngserene617]

mathsguru:

Original Title: Let MathsGuru Answer Your Burning Maths Questions!


:welcome:

Dear Parents,

Are you frustrated/stuck when helping your child solve his/her Maths questions? Are you inclined to use Algebra most of the time? Do you have difficulty trying to use diagrams or other heuristic methods (that Primary School students learn) to solve?

:idea: Post your questions here and see how MathsGuru solve them to the best of her ability. Detailed solutions will be posted back in this thread.

Hi MathsGuru,
Pls help me to solve these 2 questions:
1.Nigel and Kimberly have $820 altogether. Nigel has $60 more than Kimberly. What fraction is Nigel's money of the total?

2. There are 567 students in a school. 4/7 are boys and the rest are girls. There are 9 times as many girls as there are teachers. How many teachers are there ?


So start asking and watch this space!!

Cheers :celebrate: ,
MathsGuru

P/S (Disclaimer, in case you're wondering...):
Although MathsGuru is a full-time Maths tutor, this thread is meant to be an absolutely free resource for parents (or even children) with no strings attached. Just someone who's passionate about Maths and wanna spread the fun in learning Maths with others.

[mrswongtuition]

[quote]2/5 of Limin's money can buy 40 books. How many books can she buy with 3/4 of her money?
[/quote][-------------?--------]
[---][---][---][---][---]
[--40---]

2 units -> 40 books
1 unit -> 40/2 = 20 books
5 units -> 20 x 5 = 100 books (Total)

¾ of 100 books = ¾ x 100 = 75 books[quote]Mary bought a leather bag with 3/7 of her money. She spent the remainder on 14 pairs of socks which cost $6 each pair. How much was the leather bag?[/quote][----][----][----][----][----][----][----]
[------bag------][-14pairs of socks--]

14 pairs of socks: $6 x 14 = $84
4 units -> $84
1 unit -> $84/4 = $21
3 units -> $21 x 3 = $63[quote]Nigel has $145. He donated 2/5 to charity. Of the remainder, he gave 1/6 to his sister. How much did he give to his sister? [/quote][-------------------$145--------]
[-----][-----][-----][-----][-----]
[- charity--][--- remainder----]

5 units -> $145
1 unit -> $145/5 = $29
3 units -> $29 x 3 = $87

Remainder (convert into 6 units):
[--------$87---------]
[--][--][--][--][--][--]

6 units -> $87
1 unit -> $87/6 = $14.50[quote]Nigel and Kimberly have $820 altogether. Nigel has $60 more than Kimberly. What fraction is Nigel's money of the total? [/quote]N [------------------][---$60---] }Total:
K [------------------] ``````````}$820

2 units -> $820 - $60 = $760
1 unit -> $760/2 = $380 (Nigel)

Fraction (Nigel’s money of the total):
380/820 = 38/82 = 19/41[quote]There are 567 students in a school. 4/7 are boys and the rest are girls. There are 9 times as many girls as there are teachers. How many teachers are there?[/quote]B [--][--][--][--] } Total:
G [--][--][--] ```} 567

7 units -> 567
1 unit -> 567/7 = 81
3 units -> 81 x 3 = 243

``{-----------------------------243--------]
G [---][---][---][---][---][---][---][---][---]
T [---]

9 units -> 243
1 unit -> 243/9 = 27

[Tang]

mrswongtuition:

[quote]2/5 of Limin's money can buy 40 books. How many books can she buy with 3/4 of her money?

[-------------?--------]
[---][---][---][---][---]
[--40---]

2 units -> 40 books
1 unit -> 40/2 = 20 books
5 units -> 20 x 5 = 100 books (Total)

¾ of 100 books = ¾ x 100 = 75 books[quote]Mary bought a leather bag with 3/7 of her money. She spent the remainder on 14 pairs of socks which cost $6 each pair. How much was the leather bag?[/quote][----][----][----][----][----][----][----]
[------bag------][-14pairs of socks--]

14 pairs of socks: $6 x 14 = $84
4 units -> $84
1 unit -> $84/4 = $21
3 units -> $21 x 3 = $63[quote]Nigel has $145. He donated 2/5 to charity. Of the remainder, he gave 1/6 to his sister. How much did he give to his sister? [/quote][-------------------$145--------]
[-----][-----][-----][-----][-----]
[- charity--][--- remainder----]

5 units -> $145
1 unit -> $145/5 = $29
3 units -> $29 x 3 = $87

Remainder (convert into 6 units): Please check - 87
[--------$57---------]
[--][--][--][--][--][--]

6 units -> $57
1 unit -> $57/6 = $14.50[quote]Nigel and Kimberly have $820 altogether. Nigel has $60 more than Kimberly. What fraction is Nigel's money of the total? [/quote]N [------------------][---$60---] }Total:
K [------------------] ``````````}$820

2 units -> $820 - $60 = $560 Please check. $760
1 unit -> $560/2 = $280 (Nigel)

Fraction (Nigel’s money of the total): Please check - N -- big unit
280/820 = 28/82 = 14/41[quote]There are 567 students in a school. 4/7 are boys and the rest are girls. There are 9 times as many girls as there are teachers. How many teachers are there?[/quote]B [--][--][--][--] } Total:
G [--][--][--] ```} 567

7 units -> 567
1 unit -> 567/7 = 81
3 units -> 81 x 3 = 243

``{-----------------------------243--------]
G [---][---][---][---][---][---][---][---][---]
T [---]

9 units -> 243
1 unit -> 243/9 = 27[/quote]

[super star]

HI MATHS GURU

Please help me with this problem.At present,ronald is 3 times as old as his sister.In 22 years time,ronald’s age will be 19 years less than twice his sister’s age.how old is ronald?

[super star]

HI MATHS GURU

please help me.The mass of a box containing 3 files was 10.2kg.Later,Ali added 2 more files & 3 books into the box and the mass of the box and its contents became 19 kg .if the mas of one file was four times the mass of a book,find the mass of the box when empty (leave your answer in kg).

[super star]

Please help me with tis problem

Tom &jerry went shopping with a total of $198.Tom had $ 10 more than jerry .Tom spent 25% as much money as jerry.after which,he had twice as much money left as jerry.
(a)how much money did tom bring for shopping?
(B)how much money had tom left after shopping?