Fannon
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Aaaaaa I have no idea how to approach it, I try it but then it seems like I'm going backwards. Trying to revise it as this is supposedly a 'typical' grade 9 and that's what I've been predicted but I CANT DO IT
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Notnek
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(Original post by Fannon)
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Aaaaaa I have no idea how to approach it, I try it but then it seems like I'm going backwards. Trying to revise it as this is supposedly a 'typical' grade 9 and that's what I've been predicted but I CANT DO IT
Let the number of tourists on the island in 1986 be 'n'. Then there were 7n natives in 1986.

Then how many natives and tourists were there in 1987?

And how can you use the fact that the ratio was 155:69 in 1987 to form an equation?
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TheConfusedMedic
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(Original post by Fannon)
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Aaaaaa I have no idea how to approach it, I try it but then it seems like I'm going backwards. Trying to revise it as this is supposedly a 'typical' grade 9 and that's what I've been predicted but I CANT DO IT
The initial number of natives (in 1986) could be written as 7x, making the number of tourists x, as this still maintains the 7:1 ratio given in the question.
You are then told that the number of natives decreases by 100, and the number of tourists increases by 220, so can you then write the new numbers of natives and tourists as expressions in terms of x?
From these expressions, you can then write a new ratio of natives:tourists, meaning you now have two equivalent ratios - one with numbers, given in the question, and the one involving x which you have made.

For two equivalent ratios a:b and c:d, a/b = c/d. You can then apply this fact to your two ratios to form an equation which you can solve to find x.
Hope this helps!
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TheConfusedMedic
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Ah, sorry notnek, didn't refresh and see that you'd also posted!

(Original post by notnek)
Let the number of tourists on the island in 1986 be 'n'. Then there were 7n natives in 1986.

Then how many natives and tourists were there in 1987?

And how can you use the fact that the ratio was 155:69 in 1987 to form an equation?
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Notnek
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(Original post by surina16)
Ah, sorry notnek, didn't refresh and see that you'd also posted!
No need to apologise. It's always good to have more than one person helping in a thread
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Fannon
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(Original post by surina16)
The initial number of natives (in 1986) could be written as 7x, making the number of tourists x, as this still maintains the 7:1 ratio given in the question.
You are then told that the number of natives decreases by 100, and the number of tourists increases by 220, so can you then write the new numbers of natives and tourists as expressions in terms of x?
From these expressions, you can then write a new ratio of natives:tourists, meaning you now have two equivalent ratios - one with numbers, given in the question, and the one involving x which you have made.

For two equivalent ratios a:b and c:d, a/b = c/d. You can then apply this fact to your two ratios to form an equation which you can solve to find x.
Hope this helps!
Yayyy thanks I've got it now. I vaguely remember this being taught probs wasn't paying attention
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username3037548
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what was the answer?
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username3037548
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125?
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the bear
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is it ok to use the term "natives" ?
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Notnek
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(Original post by ozilll)
125?
Yes that's correct.
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DD2508
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(Original post by Fannon)
Yayyy thanks I've got it now. I vaguely remember this being taught probs wasn't paying attention
Hey can I ask you what exam board you're doing coz I'm in year 11 and I've never seen a question like that
I'll still try the question tho and see how it goes
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Notnek
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(Original post by the bear)
is it ok to use the term "natives" ?
Yes. In the question it just means the people who live there as opposed to tourists who visit.
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the bear
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(Original post by notnek)
Yes. In the question it just means the people who live there as opposed to tourists who visit.
it does not feel right... they could have used "inhabitants" instead :dontknow:
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Notnek
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(Original post by the bear)
it does not feel right... they could have used "inhabitants" instead :dontknow:
It's not referring to any country and is just distinguishing between people who live there and tourists so it seems fine to me.

If they were talking about a specific country or comparing natives with collonials then I'd probably take issue with it

But it does seem like this question wasn't written in the last 30 years.
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Fannon
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(Original post by DD2508)
Hey can I ask you what exam board you're doing coz I'm in year 11 and I've never seen a question like that
I'll still try the question tho and see how it goes
AQA. this sort of question does appear a lot with the new GCSE I think because there's so much more on problem solving. If you want I can send you an attachment with loads of these 'level 9' questions
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Fannon
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(Original post by DD2508)
Hey can I ask you what exam board you're doing coz I'm in year 11 and I've never seen a question like that
I'll still try the question tho and see how it goes
And with the new syllabus it's the same no matter what board
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DD2508
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(Original post by Fannon)
AQA. this sort of question does appear a lot with the new GCSE I think because there's so much more on problem solving. If you want I can send you an attachment with loads of these 'level 9' questions
Yh that would be very helpful, thanks
I did try the question and got 125 so i guess i just panicked for no reason
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Notnek
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(Original post by DD2508)
Hey can I ask you what exam board you're doing coz I'm in year 11 and I've never seen a question like that
I'll still try the question tho and see how it goes
These kinds of questions are quite common in the new 9-1 GCSE. The first time you see one they can be quite tricky but they're fine once you practice them. Here's a link with some practice for the common ratio questions that have appeared in practice/specimen papers.
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DD2508
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(Original post by notnek)
These kinds of questions are quite common in the new 9-1 GCSE. The first time you see one they can be quite tricky but they're fine once you practice them. Here's a link with some practice for the common ratio questions that have appeared in practice/specimen papers.
Thank you!!
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IftekharAhad
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(Original post by surina16)
The initial number of natives (in 1986) could be written as 7x, making the number of tourists x, as this still maintains the 7:1 ratio given in the question.
You are then told that the number of natives decreases by 100, and the number of tourists increases by 220, so can you then write the new numbers of natives and tourists as expressions in terms of x?
From these expressions, you can then write a new ratio of natives:tourists, meaning you now have two equivalent ratios - one with numbers, given in the question, and the one involving x which you have made.

For two equivalent ratios a:b and c:d, a/b = c/d. You can then apply this fact to your two ratios to form an equation which you can solve to find x.
Hope this helps!
Struggling to form two equivalent ratios... Don't know i this is right but the closest I got to was 7x-100 = x+220 which gives 7x = 320. I'm not sure what to do after this or even if this is the correct way to do it. Some help would be appreciated.
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