Tutor MathsGuru: Ask me for your burning Maths questions!

[she0407]

wahwah:

Hi MathIzzzFun,


Thanks so much for the explanation. My boy wants to thank you too!

Me too. Thanks for the clear explanation.

[kwcllf]

Hi,


Please help with the following question:

When Michelle was 25 years old, Adrian’s age was twice that of Nan. At present, Nan is 10 years old and Michelle is twice the age of Adrian. What is the age of Nan when Michelle is 40 years old?

Thanks!

[2DMommy]

Nee help with this ratio question.


The ratio of $2 notes and $10 notes in Pei Ling’s wallet was 5:4. Pei Ling exchanged 15 pieces of her $10 notes for $2 notes. After which, she had 20 times as many $2 notes as $10 notes. What was the total value of the $2 notes and $10 notes in Pei Ling’s wallet in the end?

Thank you in advance.

[MathIzzzFun]

2DMommy:

Nee help with this ratio question.


The ratio of $2 notes and $10 notes in Pei Ling's wallet was 5:4. Pei Ling exchanged 15 pieces of her $10 notes for $2 notes. After which, she had 20 times as many $2 notes as $10 notes. What was the total value of the $2 notes and $10 notes in Pei Ling's wallet in the end?

Thank you in advance.

Hi

at first:
number of $2 notes : $10 notes = 5:4
value of $2 notes : $10 notes = 5 x 1 : 4 x 5 = 5 : 20 = 5u : 20u

in the end:
number of $2 notes : $10 notes = 20 : 1
value of $2 notes : $10 notes = 20 x 1 : 1 x 5 = 20 : 50 = 20u : 5u

so 20u - 5u = 15u = $10 x 15 = $ 150
1u = $10

in the end,
value of $2 notes = 20u = 20 x $10 = $200
value of $10 notes = 5u = 5 x $10 = $50

cheers.

[MathIzzzFun]

kwcllf:

Hi,


Please help with the following question:

When Michelle was 25 years old, Adrian's age was twice that of Nan. At present, Nan is 10 years old and Michelle is twice the age of Adrian. What is the age of Nan when Michelle is 40 years old?

Thanks!

Hi

when Michelles was 25yo,
Nan = [u]
Adrian= [u][u]

Now,
Nan = [10]
Adrian =[10][u] --- age difference remains the same
Michelle = [10][u][10[u]

so, when Michelle was 25yo,
Michelle = Adrian's age + [10][u] --- age difference remains the same
25 = [u][u][u][10]
[u]=5

Michelle's age now = 20+2[u] = 30
so when Michelle is 40 yo, Nan's age = 10 +40-30=20 years old.

cheers.

[kwcllf]

Thanks Bluebelt! :salute:


Really appreciate all your help.

[2DMommy]

Need help with these two questions


1)If Gary gives Hillary $50, both of them will have the same amount of money. If Hillary gives Gary $22, the ratio of Gary’s money to Hillary’s money will become 2:1. How much money does Hillary have?

2)Ben, Rachel and Willy had 8.61 kg of modeling clay altogether. Ben gave Rachel 0.54kg of clay, Rachel gave Willy 0.21 clay and Willy gave Ben 0.37kg of clay. Ben then had twice as much clay as Rachel and Rachel had twice as much clay as Willy. How much clay did Willy have at first?

Thank you so much !

[MathIzzzFun]

kwcllf:

Thanks Bluebelt! :salute:


Really appreciate all your help.

u r welcome..

cheers, mathizzzfun

[kwcllf]

Please help with the following question:


Vicky and Jane were given a certain amount of money to spend. If Vicky spent $90 and Jane spent $30, Vicky would have $100 left when Jane had spent all her money. If Vicky spent $30 and Jane spent $90, Vicky would have $580 left when Jane had spent all her money, Find the total amount of money given to Vicky and Jane.

Thansks.

[MathIzzzFun]

kwcllf:

Please help with the following question:


Vicky and Jane were given a certain amount of money to spend. If Vicky spent $90 and Jane spent $30, Vicky would have $100 left when Jane had spent all her money. If Vicky spent $30 and Jane spent $90, Vicky would have $580 left when Jane had spent all her money, Find the total amount of money given to Vicky and Jane.

Thansks.

Hi

spending ratio when Jane spent $90:
Jane : Vicky = 90: 30 = 3u : 1u, Vicky had $580 left

spending ratio when Jane spent $30:
Jane : Vicky = 30 : 90 = 3u : 9u, Vicky had $100 left

so total amount Vicky had = 1u + $580 = 9u + $100
8u = $480, 1u = $60

Total amount of money = 4u + $ 580 (or 12u + $100) = $820

cheers.