Tutor MathsGuru: Ask me for your burning Maths questions!

[liketoeat]

tianzhu:

liketoeat:

2) Car A left Town X for Town Y at the same time when Car B left Town Y for Town X. The average speed of Car A was 56 km/h and the average speed for Car B was 72 km/h. The two cars passed each other at a point 24 km from the midway of the two towns. What is the distance between Town X and Town Y? (Ans: 384km)

Hi

One way to solve this question is to use the concept that distance varies in direct proportion to speed. The faster the speed, the more distance is covered.

Car A ----- Speed ---- 56(7) ------- Distance -------7u
Car B ------ Speed ----- 72(9) -------Distance -------9u

The midpoint is at 8u (16/2)
1u ------24 km
16u ------384 km

Best wishes

Thank you, Tianzhu.

[liketoeat]

Brenda10:

liketoeat:

1) Jane has some money. After spending $100 on 3 bags and 7 belts, she is short of $4 if she wants to buy another bag. However, if she buys 1 more belt, she will have $6 left.

a) How much does one bag cost? (Ans: $13)
b) How much does Jane have? (Ans: $109)

Hi, I have come across the similar question. However now I try to solve this question by following the previous sample I couldn’t get the answer same as you provided. I can only get (a) $17, (b) $113

That’s mean that I kept the wrong sample!! :!: Sorry not able to help and I also need to seek help from the rest.

I've got this solution but didn't quite understand, could someone please explain to me... thank you.

$4 + $6 = $10
$100 + $10 x 7 = $170

$170 / (3 + 7) = $17 (a)

$100 + $17 - $4 = $113 (b)

[tianzhu]

Cheerfuldad:

400 people took part in a camp. 73 of them were adults and the rest were children. 2/5 of the boys and 1/4 of the girls were lower primary pupils while the rest of them were upper primary pupils. There were 9 more upper primary girls than upper primary boys.
a) How many upper primary pupils were there?
b) What percentage of the people who took part in the camp were girls?

Hi

I’ll describe how to do it by MD.

400 people – 73 adults ----- 327 children

The units representing boys and girls are different.

Boys ----- 3parts (UP)----- 2 parts (LP)
Girls ----- 3 units (UP)----- 1 units (LP)

3 units is greater than 3 parts by 9
Therefore 1 unit is greater than 1 part by 3

5parts+4units ------ 327
5parts+ (4parts +12) -----327

9parts ----- 315
1 part -----35
Hence, 1 unit ---- 38

a)Number of upper primary boys ------(35*3) -----105
Number of upper primary girls -----(105+9) ----- 114
Number of upper primary pupils -----219

b)Number of girls ------(38*4) -----152
Therefore the percentage of girls to number of people ------152/400*100 ----- 38%

Hope this helps.

Best wishes

[tianzhu]

Dreamybee:

Tks alot Tianzhu, you have been very kind and helpful....I really appreciate any form of support now...

Hi

No worries.
I am a father too and I wish every child will enjoy going to schools.

Best wishes

[Brenda10]

liketoeat:

Brenda10:

[quote=\"liketoeat\"]1) Jane has some money. After spending $100 on 3 bags and 7 belts, she is short of $4 if she wants to buy another bag. However, if she buys 1 more belt, she will have $6 left.

a) How much does one bag cost? (Ans: $13)
b) How much does Jane have? (Ans: $109)

Hi, I have come across the similar question. However now I try to solve this question by following the previous sample I couldn’t get the answer same as you provided. I can only get (a) $17, (b) $113

That’s mean that I kept the wrong sample!! :!: Sorry not able to help and I also need to seek help from the rest.

I've got this solution but didn't quite understand, could someone please explain to me... thank you.

$4 + $6 = $10
$100 + $10 x 7 = $170

$170 / (3 + 7) = $17 (a)

$100 + $17 - $4 = $113 (b)[/quote]Hi Liketoboat

Paiseh. I am not good in explination :oops: but the following is my working step:

$4 + $6 = $10

1 Bag [ ]$10]
1 Belt [ ]

7 belts = 7 [ ]
3 bags = 3 [ ] + $30

10 [ ] = $100 - $30 = $70
1 [ ] = $7

$7 + $10 = $17
Each bag cost $17

Original amount : $100 + $7 + $6 = $113

Sorry unable to draw the model. This [ ] represent a rectangle model box

[optimistforum]

Can someone explain the method for calculating the maths question below, please?


In a new game, played by two teams, there are several ways of scoring points: Points listed in brackets

Ways of scoring\t
“Runners”\t (1)
“Bumps”\t (2)
“Sprints”\t(4)

How many different ways can a score of five points be reached?

[Tang]

optimistforum:

Can someone explain the method for calculating the maths question below, please?


In a new game, played by two teams, there are several ways of scoring points: Points listed in brackets

Ways of scoring\t
“Runners”\t (1)
“Bumps”\t (2)
“Sprints”\t(4)

How many different ways can a score of five points be reached?

Hello,

Let me try.

1 x 1 + 2 x 2
1 x 1 + 4
1 x 3 + 2
1 x 5

So there are 4 different ways.

[tianzhu]

liketoeat:

Thank you, Tianzhu.

Hi

You're welcome.

Best wishes

[maths6a]

Cheerfuldad:

Hi all,


Please help!

Q. 400 people took part in a camp. 73 of them were adults and the rest were children. 2/5 of the boys and 1/4 of the girls were lower primary pupils while the rest of them were upper primary pupils. There were 9 more upper primary girls than upper primary boys.

a) How many upper primary pupils were there?

b) What percentage of the people who took part in the camp were girls?

3units of Boys and 3 units of girls are in upper pr, so
each girl unit is 3 more than each boy unit.
5 boy units and 4 girl units + 12 = (400 - 73)
9 units = 400 - 73 - 12
= 315
1 unit = 35
6 units + 9 = 219 upper pr pupils (a)
(4 units + 12)/400 x 100% = 38%

Hope I am correct.


TIA

[firebird]

Dear maths guru


Please help with the following P6 maths:
1) Mrs Chia baked 120 beef pies and chicken pies. After she gave away 1/4 of the beef pies and 2/5 of the chicken pies, she was left with 30 beef pies. How many chicken pies had she left?

2) The ratio of the number of yellow marbles to the total number of green and red marbles was 7:13. 40% of the marbles were red marbles. After throwing away 65 red marbles that were chipped, 20% of the remaining marbles were red. How many marbles were there left if another 24 green marbles were found to be chipped and thrown away?

3) Alicia gave some beads to Betty such that Betty had 40% of the number of beads that Alica had. After that, Alica gave another 170 beads to Betty. In the end, Betty had 80% of the number of beads that Alica had. How many beads did Betty have in the end?

4) There were 4 times as many boys as girls at a party at first. After 20 boys went home and 16 more girls joined in, there were 6 more boys than girls remaining at the party.
a) How many boys were there at the party initially?
b) How many children attended the party?

Thank you
Firebird