Tutor MathsGuru: Ask me for your burning Maths questions!

[rain29]

Hi,


Can anyone help me with the following P5 Maths questions. Thanks in advance.

Q1. At a concert, the number of men is 4/7 of the number of women. There are 440 adults altogether. How many women are there at the concert?

Q2. The number of children spectators at the Judo competition is 4/5 of the number of adults. There are 120 more adults than children. The number of boys is 4 times the number of girls. What is the total number of boys watching the competition?

Q3. 1/2 of Joshua’s savings is equal to 4/5 of Megan’s savings. The difference between their savings is $15. What is Megan’s total savings?

Q4. The number of men at a gathing was 3/5 that of women and children. The number of children was 1/3 that of men. If there were 15 children present, how many women were at the gathering?

[pixiedust]

[] represents squares/rectangles in model.

Alignment is slightly off.


Q1. At a concert, the number of men is 4/7 of the number of women. There are 440 adults altogether. How many women are there at the concert?

M [][][][]
W [][][][][][][]

11U->440
7U->280

Ans: There are 280 women.

Q2. The number of children spectators at the Judo competition is 4/5 of the number of adults. There are 120 more adults than children. The number of boys is 4 times the number of girls. What is the total number of boys watching the competition?

C [][][][]
A [][][][][]

1U->120
There are 480 children.

4/5*480=384

Ans: There are 384 boys.

Q3. 1/2 of Joshua's savings is equal to 4/5 of Megan's savings. The difference between their savings is $15. What is Megan's total savings?


J [........][........]
M [][][][][]

This means Joshua's savings is 8u
Difference in savings : 8u-5u=3u

3u->$15
5u->$25

Megan's total savings : $25

Q4. The number of men at a gathing was 3/5 that of women and children. The number of children was 1/3 that of men. If there were 15 children present, how many women were at the gathering?

M [][][]
W+C [][][][][]
-->
C []
W [][][][]

U->15
4U->60

Ans: There were 60 women.

check :
Children : 15
Women : 60
total 75

3/5 of 75=45
hence Men : 45

1/3 of 45 = 15 = number of children, ok

[wkong]

Hi,


Need help for the following:

Lily is meeting a friend at a certain time. If she drives at 80km/h, she will be 1/3hr late. If she drives at 60km/h, she will be 3/4hr late. How long will the journey take if she travelled at 90km/h?

Thanks,
wkong

[jieheng]

wkong:

Hi,


Need help for the following:

Lily is meeting a friend at a certain time. If she drives at 80km/h, she will be 1/3hr late. If she drives at 60km/h, she will be 3/4hr late. How long will the journey take if she travelled at 90km/h?

Thanks,
wkong

Hi ,

Speed = Distance / Time taken

Time taken to complete the journey at 80 km/h : Time taken to complete
the journey at 60 km/h = 60 : 80 = 3 : 4

Difference in time taken = 3/4 h - 1/3 h
(4 - 3 ) unit = 9/12 h - 4/12 h
1 unit = 5/12 h

Time taken to complete the journey at 80 km/h = 3 units = 3 * 5/12 = 5/4 h

Distance between the journey = 5/4 * 80 = 100 km

Time taken to complete the journey at 90 km/h = 100 / 90 = 10/9 h = 1 1/9 h (Ans)

[wkong]

jieheng:

Hi ,


Speed = Distance / Time taken

Time taken to complete the journey at 80 km/h : Time taken to complete
the journey at 60 km/h = 60 : 80 = 3 : 4

Difference in time taken = 3/4 h - 1/3 h
(4 - 3 ) unit = 9/12 h - 4/12 h
1 unit = 5/12 h

Time taken to complete the journey at 80 km/h = 3 units = 3 * 5/12 = 5/4 h

Distance between the journey = 5/4 * 80 = 100 km

Time taken to complete the journey at 90 km/h = 100 / 90 = 10/9 h = 1 1/9 h (Ans)

Thank you

[jieheng]

Hi wkong ,


You are welcome .

[avell]

Dear all


Pls help me for the following questions:-

Qn (1)
4/5 of John’s money is equal to 3/8 of Sarah’s money. Express Sarah’s money as a ratio of John’s money in it simplest form (draw a model to help you to solve the sum.

Qn (2)
The ratio of boys and girls on a school bus was 2 : 3. When 16 girls alighted from the bus, the ratio of the remaining boys to girls became 6:5. Find the number of children who remained on the bus.

[wkong]

Hi All,


Need help for this question:

A train, 200m long, travelled through a tunnel at an average speed of 20m/s. The whole train took 2 min 30s to pass through the tunnel completely. Find the length of the tunnel in kilometres.

Thanks,
wkong

[rain29]

Hi Pixiedust,


Thanks for your help.

[jieheng]

wkong:

Hi All,


Need help for this question:

A train, 200m long, travelled through a tunnel at an average speed of 20m/s. The whole train took 2 min 30s to pass through the tunnel completely. Find the length of the tunnel in kilometres.

Thanks,
wkong

2 min 30 s = 150 s

Total distance travelled by the train = 20 * 150 = 3000 m

Length of tunnel = 3000 - 200 = 2800 m = 2.8 km (Ans)