Take our quiz to find out what your revision personality is! >>

Maths Q - Help Please!

username6198231

If anyone could help me solve this, I'd be grateful:

In my cellar, I have a wine collection containing red and white wine only. Sadly, some of the wine is corked and therefore undrinkable; the rest is drinkable.

There is five times as much drinkable white wine as corked red wine.
There is eight times as much drinkable red wine as corked white wine.
There is six times as much drinkable wine as corked wine.
In what ratio does my cellar contain red and white wine?

Thanks in advance! :smile:

Reply 1

BrightTutor

Hi there,
I would like to help in this:
Tackling the task, let's use the following variables:

r = the amount of red wine
w = the amount of white wine
c = the amount of corked wine
d = the amount of drinkable wine
We are given the following information:

d = 6c
dr = 8cw
dw = 5cw
Substituting the first equation into the second equation, we get:

8cw = 5cw

This means that there is 8/5 times as much drinkable red wine as corked white wine.

Substituting the first equation into the third equation, we get:

6c = 5cw

This means there is 6/5 times as much drinkable white wine as corked red wine.

Since the amount of drinkable red wine is equal to the amount of corked white wine, we can set these two equations equal to each other:

8cw = 6c

This gives us c = 8/6 = 4/3

We can now solve for the total amount of red and white wine:

r + w = c + d = 4/3 + 6/3 = 10/3

The ratio of red wine to white wine is:

r/w = (4/3) / (6/3) = 2/3

Therefore, the red and white wine ratio in your cellar is 2:3.

Hope I have answered your task
Thank you.

Reply 2

username6198231

Ah brilliant, thank you so much! :smile:

Reply 3

BrightTutor

Original post by flowerpower14

Ah brilliant, thank you so much! :smile:

Thank you too.

Reply 4

mqb2766

Original post by username6198231

Ah brilliant, thank you so much! :smile:

probably worth working through it yourself as the posted working looks incorrect. But looks like youve immediately deleted your account so kinda pointless.