In need of some help. Getting a bit confused.

[Magandroid]

I am helping my kid with some math and doing ratios. I just need some help with this one. I am confusing myself and over thinking it

Which of these is better value for money? Why? Show your calculation.
Juice A: Dilute with water 1:6. 1 litre = R13.99
Juice B: Dilute with water 1:4. 2 litre = R18.99

Any help appreciated. Thank you

 

[Grubscrew]

So for effectively you are getting 6l for R13.99 and 8l for R18.99 so which one works out cheaper per litre?

 

[Dee96]

So for effectively you are getting 6l for R13.99 and 8l for R18.99 so which one works out cheaper per litre?

it's actually 7(6+1) litres for R13.99 which is R1.999 per litre vs R18.99 for 10((1+4)*2)litres which is R1.899 per litre.

Therefore option 2 is more cost effective

 

[saor]

Juice A will provide 7 litres total @ R13.99 // 1 litre = (R13.99/7) = R1.99
Juice B will provide 10 litres total @ R18.99 // 1 litre = (R18.99/10) = R1.89

 

[Magandroid]

Yes but even though i am paying less in option 2 i am also getting a more diluted product as the ratio is 1 part water to 4 parts juice whereas option1 is 1 part water to 6 parts juice. So even if i am paying R1.99 /l for option 1, i am getting a less watered down product which is better value for money? Or am i reading this wrong?

 

[saor]

You calculate how many litres each one provides once diluted and figure out the cost per litre from there. Not sure what you mean by 'less watered down product'....they're both going to taste the same once diluted, regardless of the ratio.

 

[MickeyD]

Yes but even though i am paying less in option 2 i am also getting a more diluted product as the ratio is 1 part water to 4 parts juice whereas option1 is 1 part water to 6 parts juice. So even if i am paying R1.99 /l for option 1, i am getting a less watered down product which is better value for money? Or am i reading this wrong?

You are reading too much into the question. I used to make the same mistake. Only answer what is being asked!

 

[Sinbad]

Yes but even though i am paying less in option 2 i am also getting a more diluted product as the ratio is 1 part water to 4 parts juice whereas option1 is 1 part water to 6 parts juice. So even if i am paying R1.99 /l for option 1, i am getting a less watered down product which is better value for money? Or am i reading this wrong?

No, the end product is assumed to be the same when you dilute to given ratios. The one juice is more concentrated to start with than the other.
Just work out cost per litre of end product when you dilte according to instructions

 

[azbob]

Yes but even though i am paying less in option 2 i am also getting a more diluted product as the ratio is 1 part water to 4 parts juice whereas option1 is 1 part water to 6 parts juice. So even if i am paying R1.99 /l for option 1, i am getting a less watered down product which is better value for money? Or am i reading this wrong?

1:6 means 1 part juice to 6 parts water.

 

[MickeyD]

The questioner does not care if it is Oros or Sweeto ...

 

[Magandroid]

Thank you everyone for your input, i get it now. In was reading too much in it.

 

[midnightcaller]

Assuming the cost of water is the same in both dilutions of juice a and b.

Juice A concentrate will yield 7 liters (1 +6) for R13.99. Cost per liter is R1.99

Juice b concentrate will yield 10 liters (1+5 times 2 ) for r18.99. Cost per liter is r1.89.

 

[Magandroid]

Sorry. I thought i had but now i am confused again.
If i read the Juice A line then this is what i see.
Juice A: Dilute with water 1:6. (1 part concentrate juice to 6 parts water. Nowhere does it say litres)
1 litre = R13.99 (The reason i put this in a separate line is that there is a fullstop after 1:6 therefore i read this line as being 1litre = R13.99 or R13.99 per litre)
Now that being said how can i suddenly have an answer of R1.99/l as shown above if my second line already indicates 1litre = R13.99?
Now i am even more confused.
Juice B states 2litres = R18.99 which means it's R18.99/2 = R9.49 per litre.
How can we suddenly have R1.89 per litre?
My head hurts now.

 

[saor]

Is the Rand value in each line of your first post the cost per bottle of the concentrate - 1 and 2 litre respectively?

 

[midnightcaller]

Juice A: Dilute with water 1:6. (1 part concentrate juice to 6 parts water. Nowhere does it say litres)

Ratio of 1:6
May mean
1ml concentrate : 6 ml water or
1 liter concentrate : 6 liter water or
1 kL concentrate : 6 kL water.

Ratio doesn't need to specify the unit.

 

[saor]

Now that being said how can i suddenly have an answer of R1.99/l as shown above if my second line already indicates 1litre = R13.99?

1 litre of concentrate = R13.99 (like you said).
If you mix 1 litre of concentrate with 6 litres of water (1:6, like you said), then you get 7 litres of juice.
If you then divide those 7 litres of mixed juice into 1 litre containers - the cost per litre of diluted juice is R1.99.

We work out the cost per litre of diluted/mixed juice so that we can compare the value of one concentrate (1:6) versus another concentrate (1:4) to see which one is the best value per litre of mixed juice - the stuff we're actually going to drink.

 

[Magandroid]

Is the Rand value in each line of your first post the cost per bottle of the concentrate - 1 and 2 litre respectively?

I am assuming the rand value is the cost per litre of the final product which consists water and concentrate. My very first post is the question as stated in the book. That is all the info that is available.

 

[saor]

I am assuming the rand value is the cost per litre of the final product which consists water and concentrate. My very first post is the question as stated in the book. That is all the info that is available.

They're giving you the cost of a bottle of concentrate.

 

[maumau]

Magandroid don't read this - now I'm confused too!

What's wrong with my calculation:

Let's say you have 24 litres of water. You'd need 4 of juice A @ R13. 99 = R55. 96.

With juice B you'd need 3 @ R18. 99 = R56.97

????

 

[Magandroid]

1 litre of concentrate = R13.99 (like you said).
If you mix 1 litre of concentrate with 6 litres of water (1:6, like you said), then you get 7 litres of juice.
If you then divide those 7 litres of mixed juice into 1 litre containers - the cost per litre of diluted juice is R1.99.

We work out the cost per litre of diluted/mixed juice so that we can compare the value of one concentrate (1:6) versus another concentrate (1:4) to see which one is the best value per litre of mixed juice - the stuff we're actually going to drink.

Aha!! Thank you, thank you, thank you. We never buy this concentrated stuff so it didn't click.
So essentially i go to pnp, buy the concentrate "juice" at R13.99 a litre bottle. Then i have to mix it with water as per the ratio. Then i can work out the cost of the final product per litre.
Finally the penny dropped. Baie dankie.