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Mathematics 16 Online
OpenStudy (anonymous):

helo Juanita is a refreshment stand specializing in a fruit drink mixture of orange juice and prune juice. The orange juice costs $1.20 per liter and the prune juice costs $1.40 per liter. If they need 8 liters of the final drink at a cost of $1.24 per liter, how many liters of each juice will they need to make their specialty drink?

OpenStudy (anonymous):

I would suggest a ratio of 5:1 for orange and prune respectively

OpenStudy (anonymous):

??

OpenStudy (anonymous):

Can you please explain me how you solve this problem>?

OpenStudy (anonymous):

OK well you have an average of 1.24 at the end. Made up of a combo of 1.20 and 1.40. forget the context and just look at 20 ,24 and 40 4/20 = 1/5. That's how I got it

OpenStudy (anonymous):

that it?

OpenStudy (anonymous):

well that gives you the amount used of each in a ratio. So for every five litres of orange use one of prune. So the first 6 litres is obvious use 5 orange and 1 prune. Then use 10/6 litres and 2/6 litres for the next 2 litres. So your answers are 46/6 litres of orange and 8/6 litres of prune.

OpenStudy (anonymous):

or 7 2/3 and 1 1/3 if you prefer

OpenStudy (anonymous):

I dont get it

OpenStudy (anonymous):

Uhh haven't done this for a while so not sure of the approved method I just sort of work it out. Maybe if you do the Lowest common multiple of 1.20 1.24 and 1.40. Then do 8 divided by that.

OpenStudy (anonymous):

In fact I don't even know if that would work. Not sure how I can make it any easier. That's the way I'd do it sorry

OpenStudy (anonymous):

dont worry its ok! :)

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