[gabriel 41]

Hi guys,


Can you please help me in the following questions because I've got no single clue on how to answer them.

Question 1: A sum of money is divided between two people, A and B, in the ratio 3:5. If B receives £150 more than A, what was the original sum of money, and how much does each person get? (4 marks)

Question 2: A woman goes to the cinema each week, paying £3.25 for her ticket each time. She decides that she would pay less if she bought a video cassette recorder for £185 and hired one film each week at a cost of £1 each. How many complete weeks will it take to make the new method cheaper than cinema visits?
(6 marks)

[moritzplatz]

undergraduate?
you must be joking.

[gabriel 41]

(Original post by moritzplatz)
undergraduate?
you must be joking.

Yes this is a question for the ABE level 4 diploma course. The level 4 diploma is equivalent to a first year degree course. Whatever the situation, the rules say that you must not push someone down by raising question on their capability. If you want to help you are most welcome but don't bring in your personal comments!

[gabriel 41]

Can someone please answer the above question please? Even if they are easy, but they are difficult for me, so I would appreciate some help.

[moritzplatz]

(Original post by gabriel 41)
Yes this is a question for the ABE level 4 diploma course. The level 4 diploma is equivalent to a first year degree course. Whatever the situation, the rules say that you must not push someone down by raising question on their capability. If you want to help you are most welcome but don't bring in your personal comments!

i'm raising question on the level of the question.

for a) if i interpret the ratio thing right (i.e if it means that for every 3 A has, B has 5)
let S be the total sum so 3/8 *S +150 =5/8*S
then just solve for S
b) is even easier

[gabriel 41]

(Original post by moritzplatz)
i'm raising question on the level of the question.

for a) if i interpret the ratio thing right (i.e if it means that for every 3 A has, B has 5)
let S be the total sum so 3/8 *S +150 =5/8*S
then just solve for S
b) is even easier

Oh! I understand now. Sorry! I misunderstood you, and in fact you're right. Level 4 is more like a bit harder than GCSE but anyway they call it undergraduate. I yet don't understand part (ii) so please help me. I would appreciate it.


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[gabriel 41]

Can someone please help me in the cinema question mentioned above?

[gabriel 41]

Please please answer the second Maths question above. Please! I urgently need this help


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[gabriel 41]

Isn't there somebody out there who can answer the above unsold question?


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[gabriel 41]

(Original post by moritzplatz)
i'm raising question on the level of the question.

for a) if i interpret the ratio thing right (i.e if it means that for every 3 A has, B has 5)
let S be the total sum so 3/8 *S +150 =5/8*S
then just solve for S
b) is even easier

Please answer part B for me. I simply don't get it. Please help me.


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[BabyMaths]

I'm going to lead up to a decent method but for now..

Try a few numbers.
_______________________________
After say 5 weeks she would pay

Cinema: 5*£3.25 = £16.25

Videos at home: £185 + 5*£1=£190
_______________________________
After 10 weeks she would pay

Cinema: 10*£3.25 = £32.50

Videos at home: £185 + 10*£1=£195
________________________________

After w weeks

Cinema: £3.25 w

Videos at home: £185 + £1 w

You want 185 + w < 3.25 w

Where w has to be a whole number.

Can you finish it from there?

[gabriel 41]

(Original post by BabyMaths)
I'm going to lead up to a decent method but for now..

Try a few numbers.
_______________________________
After say 5 weeks she would pay

Cinema: 5*£3.25 = £16.25

Videos at home: £185 + 5*£1=£190
_______________________________
After 10 weeks she would pay

Cinema: 10*£3.25 = £32.50

Videos at home: £185 + 10*£1=£195
________________________________

After w weeks

Cinema: £3.25 w

Videos at home: £185 + £1 w

You want 185 + w < 3.25 w

Where w has to be a whole number.

Can you finish it from there?

Firstly, I would like to thank you for this wonderful explanation you have given me. I totally understood the question. Secondly, I solved the inequality and got the answer. Thank you! Your method is decent. There's no need to devise another one.

However, I've got one small question which is troubling me. Can you answer it for me?

Here's the question:

L1 cuts the x axis at x = –2 and the y axis at y = –3

(i) Find the equation of the above line.

Okay so the format of a straight line equation is y=mx+c. So y=mx-3. But we know that when X is -2, y=0. so 0=mx-3. so m is the 3. The gradient is 3. So the equation is y=3x-3; however, the answer is y=3/2x-3. How is that? Please help me. How does the denominator come in under the gradient?

[dantheman1261]

You forgot to substitute x in, when you got to 0=mx-3.

[gabriel 41]

(Original post by dantheman1261)
You forgot to substitute x in, when you got to 0=mx-3.

I still don't get it. Please can you show me practically, by calculation, how we reach the answer. Thank you.


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[aznkid66]

(Original post by gabriel 41)
I still don't get it. Please can you show me practically, by calculation, how we reach the answer. Thank you.


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Your error was here:

(-2,0) is on the line y=mx-3
Thus, 0=mx-3
Thus, m=3

You completely forgot about the x value!

[gabriel 41]

(Original post by aznkid66)
Your error was here:


You completely forgot about the x value!

Thank you; You've opened my eyes. I now understand the answer given in the mark scheme. Thank you. I've found the correct answer now!


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[SpiggyTopes]

(Original post by gabriel 41)
Hi guys,


Can you please help me in the following questions because I've got no single clue on how to answer them.

Question 1: A sum of money is divided between two people, A and B, in the ratio 3:5. If B receives £150 more than A, what was the original sum of money, and how much does each person get? (4 marks)

Question 2: A woman goes to the cinema each week, paying £3.25 for her ticket each time. She decides that she would pay less if she bought a video cassette recorder for £185 and hired one film each week at a cost of £1 each. How many complete weeks will it take to make the new method cheaper than cinema visits?
(6 marks)

1) If B gets an extra £150, and an extra 2 divisions then each division is worth £75.

So A gets 3x£75=£225 and B gets 5x£75=£375

2) Let's say 'X' is the number of weeks and you're looking for how many weeks it takes for the cinema to be more expensive, or greater than the cost of the cassette method...

3.5X> 180 + (1)X (weeks x £3.50 to be greater then Weeks x £1 + £180)

2.5X> 180

X> 72

The number of weeks is greater than 72, so it must be 73 weeks.

Alternatively you could plot a graph of total cost against the number of weeks and find the next week after the point of intersection.

Edit: Whoops! It's £3.25 but I'm sure you can work it out!

[Jam']

These are questions you could get on a GCSE paper. Have you got a GCSE in Maths?

[gabriel 41]

(Original post by Jam')
These are questions you could get on a GCSE paper. Have you got a GCSE in Maths?

No I've got an IGCSE of Pearson in Maths. The results are not yet out. I just did my exam this May. So it's natural I won't be very expert in this area.


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[gabriel 41]

Thanks for the help. Everyone on this thread is fabulous!