Q&A - P5 Math

[ozora]

MathIzzzFun:

ozora:

[quote=\"MathIzzzFun\"][


Q2. i got the answer is $15.25. sorry forgot to add in the answer.

as for Q1 . i am slight confused.
i gathered that choco has 3 units while fruits has 4 units in the end.
based on the difference , it will be 35-18=17
17x3=51.
so any part which is wrong?

In the end,
Fruit cakes --> 4 units
Choco cakes --> 3 units
Since there are 18 more fruit cakes than choco cakes (difference remain the same), 1 unit --> 18

cheers.

[/quote]thanks Maths. so the difference is constant. got it

[Udon]

pls help...Thanks in advance.


Q1. In a Maths Olympiad, Team A and Team B each has an equal number of pupils. The total number of pupils in each team is less than 10. The average score of the pupils in Team A is 48 marks. The average score of the pupils in Team B is 62 marks. The total score of Team B is 42 marks more than that of Team A.

Find the number of pupils in each team.

[YumYum]

Hi, can someone pl help:


At a sports stadium, the ratio of the number of the number of females to the number of males was 5:7. The ratio of the number of girls to the number of women was 2:3. The ratio of the number of boys was 4:5.

A) what fraction of the people in the sports stadium were girls and boys?
B) if there were 1512 more men than women, how many people were at the stadium?

Thanks

[MathIzzzFun]

Udon:

pls help...Thanks in advance.


Q1. In a Maths Olympiad, Team A and Team B each has an equal number of pupils. The total number of pupils in each team is less than 10. The average score of the pupils in Team A is 48 marks. The average score of the pupils in Team B is 62 marks. The total score of Team B is 42 marks more than that of Team A.

Find the number of pupils in each team.

number of pupils in each team = 42/(62-48) = 3

cheers.

[MathIzzzFun]

YumYum:

Hi, can someone pl help:


At a sports stadium, the ratio of the number of the number of females to the number of males was 5:7. The ratio of the number of girls to the number of women was 2:3. The ratio of the number of boys was 4:5.

A) what fraction of the people in the sports stadium were girls and boys?
B) if there were 1512 more men than women, how many people were at the stadium?

Thanks

the ratio information is incomplete.

cheers.

[YumYum]

MathIzzzfun> thanks for highlighting…I’m so muddle-headed.


It’s OK, DD just managed to figure out how to do it. thanks and apologies.

[Udon]

MathIzzzFun:

Udon:

pls help...Thanks in advance.


Q1. In a Maths Olympiad, Team A and Team B each has an equal number of pupils. The total number of pupils in each team is less than 10. The average score of the pupils in Team A is 48 marks. The average score of the pupils in Team B is 62 marks. The total score of Team B is 42 marks more than that of Team A.

Find the number of pupils in each team.

number of pupils in each team = 42/(62-48) = 3

cheers.

MathIzzzFun,
Thanks for your help,
Is it the standard formula for this type of question?
Can I use guess & check method?

[MathIzzzFun]

Udon:

MathIzzzFun:

Q1. In a Maths Olympiad, Team A and Team B each has an equal number of pupils. The total number of pupils in each team is less than 10. The average score of the pupils in Team A is 48 marks. The average score of the pupils in Team B is 62 marks. The total score of Team B is 42 marks more than that of Team A.

Find the number of pupils in each team.

number of pupils in each team = 42/(62-48) = 3

cheers.

MathIzzzFun,
Thanks for your help,
Is it the standard formula for this type of question?
Can I use guess & check method?

not really a standard formula..
since there are equal number of pupils in each team, the difference in the average in the two teams is equal to the difference in individual score (62-48). So, dividing the total difference in score (42) will thus give the number of pupils in each group.. concept is similar to \"there are equal number of pens and pencils. If each pen cost $0.30 more than a pencil, how many pens if the total cost of pens is $3.00 more than that of the pencils.\"

cheers.

[aps]

Dear all

Please help me with these two qns.
1)The head of a crocodile is 29cm long. Its tail is as long as its head plus one-half of the length of its body together. The body is as long as the head and its tail together. What is the length of the crocodile?


2)Richard, Dan and Tom shared a bag of marbles. Richard received 60 marbles and Tom received 25% less marbles than Dan. Later, Richard gave 28 marbles to be shared by Dan and Tom. As a result, Tom still has 25% fewer marbles than Dan and the number of marbles Dan receives increases by 40%. How many marbles were there in the bag?

Thanks!

[cimman]

ozora:

Can anyone help to verify my answer of these following questions:

1.I bakes 18 more fruit cakes than choco cakes. After giving away 35 cakes of each type, the number of choco cakes became 75% of the number of fruit cakes. How many choco cakes is left?
Answer 81.

if you don't mind doing a little bit of algebra, here's one way of looking at things.
First step is to fill in the table based on information from the problem sum:
http://i48.tinypic.com/2n0puu1.png\">

next, circle the Difference Statement, that's the part where they say somebody has xx more than somebody else, in this case, fruit cake more than choco cake. The Difference Statement always gives you an equation.
Then fill in the relevant blank boxes that was circled, using the following equation:
Before + Transfer = After
or
Before = After - Transfer (as in this case)

... 18 more fruit cakes than choco cakes translates to:
Fruit cake - Choco cake = 18
http://i48.tinypic.com/2v92irp.png\">

point to note: in problems with percentages, always find a box to store the 100% value. The 100% is the reference point, so it must be represented in the table. For every percentage value, there is always a corresponding 100% value.

you can use this method for similar problem types. The method is independent of the Transfer values or the After values, the derivation of the logic/equation remains the same.