Tutor MathsGuru: Ask me for your burning Maths questions!

[kwcllf]

Hi MathIzzzFun,


Once again thanks for the great help!

The question is given to my P5 kid. By the way, what MO stands for?

[concern_mum]

Hi Guru, this is concern_mum again, can you help me with question below:


There were 512 tickets to the YOG opening and closing ceremoney for sale. After 3/4 of the opening ceremony tickets were sold, the number of opening ceremony tickets left was 3/7 of the total number of tickets left.

a) How many closing ceremony tickets were there?
b) If the tickets were sold at $80 each, how much money was collected from the sales of the opening ceremony tickets?

Thank you.

[applepie]

Hi,


Can anyone help with this question…my boy and I both tried this question but got a different answer from the answer key :

Garry had twice as many stamps as Henry. After Henry gave away 98 stamps, Garry had 4 times as many stamps as Henry. How many stamps did both of them have at first?

Thanks.

[concern_mum]

applepie:

Hi,


Can anyone help with this question...my boy and I both tried this question but got a different answer from the answer key :

Garry had twice as many stamps as Henry. After Henry gave away 98 stamps, Garry had 4 times as many stamps as Henry. How many stamps did both of them have at first?

Thanks.

Hi applepie,
This is what I think...
Garry : Henry
2:1
and 2:1 is also equivalent to 4:2 (i.e. total 6 units)
one unit was given away (which is equivalent to 98 stamps) to achieve 4:1 ratio.
Before the one unit was given away, there were a total of 6 units.
Since one unit = 98, the total number of stamps originally was 6 x 98 = 588.

Hope this helps:)

[concern_mum]

Further amendment:


So Garry had 4x98 = 392 stamps at first
while Henry had 2x98 = 196 stamps at first.

[applepie]

Hi concern mum,


Yes, our answer was 588.

The answer key was 490...thanks, at least I can let my boy know that he was right

[MathIzzzFun]

kwcllf:

Hi MathIzzzFun,


Once again thanks for the great help!

The question is given to my P5 kid. By the way, what MO stands for?

u r welcome

MO = math olympiad

cheers.

[MathIzzzFun]

concern_mum:

Hi Guru, this is concern_mum again, can you help me with question below:


There were 512 tickets to the YOG opening and closing ceremoney for sale. After 3/4 of the opening ceremony tickets were sold, the number of opening ceremony tickets left was 3/7 of the total number of tickets left.

a) How many closing ceremony tickets were there?
b) If the tickets were sold at $80 each, how much money was collected from the sales of the opening ceremony tickets?

Thank you.

Hi

There is no mention of sale of closing ceremony tickets...without this information, there will be more than 1 possible solution.

Assuming that no closing ceremony tickets were sold:
Opening tickets = 12u
Opening tickets left = 3u = 3/7 total remaining tickets--> remaining tickets = 7u
So, closing tickets = 4u

512 = 12u+4u = 16u
Closing tickets =4u = 1/4 x 512 = 128

after that, (b) is quite straightforward .

cheers.

[kitty2]

Please help with these 2 questions,thanks.Any good way to explain question 1?


Thanks for your help.

1)Ms Tan has a bag of sweets to distribute to the pupils in her class.If she gives each pupil 5 sweets,she’ll have 3 sweets left.If she gives each pupil 7 sweets,she’ll need another 25 sweets.

1) How many pupils are there in her class?
2)How many sweets does she have in her bag?

2)A florist sold twice as many roses as tulips and collected $400 in total.She collected $80 more on the tulips than the roses.Given that a tulip costs $2 more than a rose,find the cost of a rose.

[MathIzzzFun]

kitty2:

Please help with these 2 questions,thanks.Any good way to explain question 1?


Thanks for your help.

1)Ms Tan has a bag of sweets to distribute to the pupils in her class.If she gives each pupil 5 sweets,she'll have 3 sweets left.If she gives each pupil 7 sweets,she'll need another 25 sweets.

1) How many pupils are there in her class?
2)How many sweets does she have in her bag?

2)A florist sold twice as many roses as tulips and collected $400 in total.She collected $80 more on the tulips than the roses.Given that a tulip costs $2 more than a rose,find the cost of a rose.

Hi

For Q1, there was a long discussion on a similar question - http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=67&t=25121&start=70

Q2. First, find how much was collected for Roses and Tulips.
Roses = $(400-80)/2 = $ 160
Tulips = $240

For 2nd part, there are few ways to do :
We know that the number of roses sold is twice the number of tulips sold.

If there were same number, then we could easily find out the number of each type sold by dividing the extra amount collected by the extra cost per tulip over rose.

So, we assume same number were sold ie 2 x $ 240 = $ 480 worth of tulips sold. So, $480 - $160 = $320. Since each tulip costs $2 more that a rose, then number of roses sold = $320 / $2 = 160, so number of tulips sold = 80

Cost of 1 rose = $160/160 = $1, cost of 1 tulip = $240/80 =$ 3

Alternatively,
we know that 2 lots of roses sold for $160 and 1 lot of tulips sold for $240
1 lot of roses sold for $160/2 = $80
Number of flowers in each lot = $(240-80)/$2 = 80
Cost of 1 rose = $160 / 160 = $1
Cost of 1 tulip = $ 240 / 80 = $3

cheers.