Welcome, Guest
Username: Password: Remember me
  • Page:
  • 1
  • 2

TOPIC: P6 Percentage

P6 Percentage 3 years 3 months ago #1

Please help :

1) Marcus has 75% as much money as Jerome. Jerome has 64% of Leslie's money. If Leslie gives $360 to Jerome, both of them will have an equal amount of money. How much more money does Leslie have than Marcus?

2) Tina has 85% as many comics as Julie. Julie has 80% as many comics as Lois. If Lois gives 110 comics to Julie, Julie will have 3 times as many comics as Lois.
a) How many more comics does Lois have than Tina?
b) How many comics do the 3 girls have altogether?

3) Paul and Peter had $1000 altogether. If Paul gave 30% of his money to Peter, Paul would haave $1200 more than Peter. How much money did Paul have at first?

4) John has twice as much money as Mark. If John and Mark each gives 10% of their money to Luke, Luke will have $1260, which is 20% more than the amount of money he has at first. How much money do John and Mark have altogether?
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #2

1) Marcus has 75% as much money as Jerome. Jerome has 64% of Leslie's money. If Leslie gives $360 to Jerome, both of them will have an equal amount of money. How much more money does Leslie have than Marcus?

Repeated Identity

M : J
75 : 100
3 : 4
12 : 16 (Make J the same in units)

J : L
64 : 100
16 : 25 (Make J the same in units)

M : J : L
12 : 16 : 25
24 : 32 : 50 (Double the units since we need to divide by 2)

(32+50) / 2 = 41
50-41 = 9

9u --> $360
1u --> $40

Leslie has 26u more than Marcus --> 26 x $40 = $1040
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #3

3) Paul and Peter had $1000 altogether. If Paul gave 30% of his money to Peter, Paul would haave $1200 more than Peter. How much money did Paul have at first?

There is a problem with this question. If Paul and Peter have $1000 in total, it's not possible for Paul to $1200 more at the end.
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #4

4) John has twice as much money as Mark. If John and Mark each gives 10% of their money to Luke, Luke will have $1260, which is 20% more than the amount of money he has at first. How much money do John and Mark have altogether?

J : M
2 : 1
20 : 10

J gives 2u
M gives 1u

L gets 3u

120% --> $1260
100% --> $1050
20% --> $210

3u --> $210
1u --> $70

J + M --> 30
30u --> 30 x $70 = $2100
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #5

2) Tina has 85% as many comics as Julie. Julie has 80% as many comics as Lois. If Lois gives 110 comics to Julie, Julie will have 3 times as many comics as Lois.
a) How many more comics does Lois have than Tina?
b) How many comics do the 3 girls have altogether?

T : J
85 : 100
17 : 20

J : L
80 : 100
20 : 25

T : J : L
17 : 20 : 25 (J+L --> 45u)
68 : 80 : 100 (x4 to make J+L the same --> J+L --> 180u)

J : L
3 : 1 (4u)
135 : 45 (Total 180u)

Change is 135-80=55

55u --> 110
1u --> 2

Louis less Tina --> 100u - 68u = 32u
32u --> 64

Total comics
68+80+100 = 248
248u --> 496 comics
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #6

Please explain :

1) Why there is a need to double up the units then divided by 2?

2) Why 1u = 45?

3) Sorry there is a typo error, Paul and Peter had $10,000 altogether.

4) For below question, I applied the same method as taught below but I did not get the answer. The answer is Sharon has $1000. Please check my working below, which part did I do wrongly. Thanks.

S : F
2 : 1
30: 15

125% --> $1125
100% --> $900
25% --> 225

3u --> $225
1u --> $75

S --> 30
30u --> 30 x $75 = $ 2250
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #7

1) I doubled the ratios because I didn't want to have decimals in the value of a unit when I divided by 2 later.

2) ? 1u is not 45. 1u is 2. ??

4) I would need to see the question to be able to comment on your solution. Can you post it pls.
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #8

3) How to solve Q3? Paul and Peter had $10,000 altogether. If Paul gave 30% of his money to Peter, Paul would haave $1200 more than Peter. How much money did Paul have at first?

4) Sharon has twice as much money as Florence. If Sharon and Florence each gives 15% of their money to Helen, Helen will have $1125, which is 25% more than the original amount of money she has. How much money does Sharon have?
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #9

For your solution to Q4, I am not sure where you got 3u from. Your first part is correct, your last part is correct. The problem is where you got 3u and why you chose 30 : 15 as your ratio.

Here is one solution ...

S : F
2 : 1
40 : 20

15% of 40 --> 6
15% of 20 --> 3
Helen received 9u from S & F

125% --> 1125
25% --> 225

9u --> 225
1u --> 25

Sharon --> 40 x 25 = 1000

For Q3, try working backwards. In the end Paul has 7/10 of his original amount and he has 1200 more than Peter. With this information it is sufficient for me to work backwards.
The administrator has disabled public write access.

Re:P6 Percentage 3 years 3 months ago #10

Thanks Chris. I have understand where is my mistakes for Q4.

Can u also help me with the following questions. I had posted 4 days ago but no reply so far. Thanks in advance.

1. The ratio of the amount of savings that Linda had to the amount of savings that Siti has was in the ratio 8:5. They shared the cost of a gift in the ratio 3:1. Linda used half of her savings to pay for the share and Siti paid $120. What was their total savings after paying for the gift?

2. The number of girls who registered for the Art class was 20% of the number of boys. On the actual day, 7 more girls and 5 more boys turned up for the class. As a result, there were 1/3 as many girls as boys at the Art class. What was the total number of children who turned up for the class?

3. Tom and Mike had a total of $10 400. After Tom had spent 3/4 of his money and Mike has spent 3/5 of jis, Mike has $520 more than Tom. How much did each of the two boys have at first?

4.Quesion 4.jpg [Quesion 4.jpg]
R u able to view the attached file? If not, please advise the method on how to post an attachment? Thanks.

5. There were some children in a hall. 75% of the children were girls. 51 girls and 7 boys left the hall. The remaining children were then told to form groups of 10. If there were 3 boys in each group, how many children were there in the hall at first?
The administrator has disabled public write access.
  • Page:
  • 1
  • 2

About Us | Contact Us | Join Us | Terms of Use | Privacy Policy | Sitemap | Sign Up

Copyright 2008 onSponge Pte Ltd. All rights reserved

Protected by R Antispam