O-Level Additional Math

[pinkapple]

Haneyi:

A box contains some white and black mugs.

If 3 white mugs are taken out of the box, 2/7 of the remaining mugs in the box are white mugs. If 5 black mugs are removed from the box, 2/3 of the remaining mugs in the box are black mugs.

By forming an algebraic equation, find the number of mugs in the box originally.\t\t

Thank you in advance!

Note: I'm sorry if my question is too easy or seems to be asked without thinking. I tried doing for about 30 minutes but still can't seem to solve it with algebra.

HI. is this a Sec 1 or Sec 2 question?

If it's Sec 2 or above, here's the solution: https://www.facebook.com/photo.php?fbid=517213775004642&set=a.500572863335400.1073741830.466376010088419&type=3&src=https%3A%2F%2Ffbcdn-sphotos-c-a.akamaihd.net%2Fhphotos-ak-frc1%2F316389_517213775004642_1830270652_n.jpg&size=633%2C756

If sec1, then u would not have learnt simultaneous equations and I'll have to tackle it another way.

[Haneyi]

pinkapple:

Haneyi:

A box contains some white and black mugs.

If 3 white mugs are taken out of the box, 2/7 of the remaining mugs in the box are white mugs. If 5 black mugs are removed from the box, 2/3 of the remaining mugs in the box are black mugs.

By forming an algebraic equation, find the number of mugs in the box originally.\t\t

Thank you in advance!

Note: I'm sorry if my question is too easy or seems to be asked without thinking. I tried doing for about 30 minutes but still can't seem to solve it with algebra.

HI. is this a Sec 1 or Sec 2 question?

If it's Sec 2 or above, here's the solution: https://www.facebook.com/photo.php?fbid=517213775004642&set=a.500572863335400.1073741830.466376010088419&type=3&src=https%3A%2F%2Ffbcdn-sphotos-c-a.akamaihd.net%2Fhphotos-ak-frc1%2F316389_517213775004642_1830270652_n.jpg&size=633%2C756

If sec1, then u would not have learnt simultaneous equations and I'll have to tackle it another way.

It's a Sec 1 question. ^^

[pinkapple]

Haneyi:

pinkapple:

[quote=\"Haneyi\"]A box contains some white and black mugs.

If 3 white mugs are taken out of the box, 2/7 of the remaining mugs in the box are white mugs. If 5 black mugs are removed from the box, 2/3 of the remaining mugs in the box are black mugs.

By forming an algebraic equation, find the number of mugs in the box originally.\t\t

Thank you in advance!

Note: I'm sorry if my question is too easy or seems to be asked without thinking. I tried doing for about 30 minutes but still can't seem to solve it with algebra.

HI. is this a Sec 1 or Sec 2 question?

If it's Sec 2 or above, here's the solution: https://www.facebook.com/photo.php?fbid=517213775004642&set=a.500572863335400.1073741830.466376010088419&type=3&src=https%3A%2F%2Ffbcdn-sphotos-c-a.akamaihd.net%2Fhphotos-ak-frc1%2F316389_517213775004642_1830270652_n.jpg&size=633%2C756

If sec1, then u would not have learnt simultaneous equations and I'll have to tackle it another way.

It's a Sec 1 question. ^^[/quote]here you go: https://www.facebook.com/photo.php?fbid=517657854960234&set=a.500572863335400.1073741830.466376010088419&type=3&src=https%3A%2F%2Ffbcdn-sphotos-g-a.akamaihd.net%2Fhphotos-ak-prn1%2F944874_517657854960234_454272208_n.jpg&size=819%2C578

[mathtuition88]

the above method is very nice.

[mathtuition88]

Does your child need practice on Expansion and Factorisation, especially the more challenging questions? It is a key technique that needs to be honed for the O Levels.


Practice Hwa Chong Institution Expansion and Factorisation (Sec 2, IP) here.

http://mathtuition88.wordpress.com/2013/05/07/sec-2-ip-hci-revision-1-expansion-and-factorisation/

[PiggyLalala]

Need help to solve the following question.

Log (base 9) a = log (base 12) b =log (base 16) (a+b), find the value of a/b.
TIA

[mathtuition88]

PiggyLalala:

Need help to solve the following question.

Log (base 9) a = log (base 12) b =log (base 16) (a+b), find the value of a/b.
TIA

Dear Sir/Mdm,

Please see my answer at http://mathtuition88.com/2013/05/12/o-level-logarithm-question-challenging/

Best wishes.

[PiggyLalala]

mathtuition88:

PiggyLalala:

Need help to solve the following question.

Log (base 9) a = log (base 12) b =log (base 16) (a+b), find the value of a/b.
TIA

Dear Sir/Mdm,

Please see my answer at http://mathtuition88.com/2013/05/12/o-level-logarithm-question-challenging/

Best wishes.

:thankyou: very much for the solution. Was using the wrong approach- change of base n made a big mess... haha..

I did not think of letting y = the log expression n change it into its exponential form.

Thank you so much.

[mathtuition88]

PiggyLalala:

mathtuition88:

[quote=\"PiggyLalala\"]Need help to solve the following question.

Log (base 9) a = log (base 12) b =log (base 16) (a+b), find the value of a/b.
TIA

Dear Sir/Mdm,

Please see my answer at http://mathtuition88.com/2013/05/12/o-level-logarithm-question-challenging/

Best wishes.

:thankyou: very much for the solution. Was using the wrong approach- change of base n made a big mess... haha..

I did not think of letting y = the log expression n change it into its exponential form.

Thank you so much.[/quote]You are welcome, glad to help.
That question is quite creative, enjoyed solving it.

[Qwertymum]

My son asks me a Math question from his MY Revision Paper which I need help. Find it rather challenging! Or if there is something not right? Could anyone out there kindly help to solve, thanks in advance.


" A father in his will left all his money to his children as such: $1000 and 1/10 of what then remains to the first born; then $2000 and 1/10 of what then remains to the second; then $3000 and 1/10 of what then remains to the third born; and so no. When this was done each child had the same amount. How many children were there? "