HighSchool Algebra Question...Can YOU answer it?

[MainFramed]

A barrel contains only apples and oranges. There are three times as many apples as oranges. The apples are either red or yellow, and five times as many apples are red as yellow If one piece of fruit is drawn at random from the barrel, what is the probability that the piece drawn is a red apple?

😕 8-1?

 

[pontifex]

lol.
i wouldn't even know where to start.

 

[cw42]

8-1 is my guess too...

 

[MainFramed]

Originally posted by: cw42
i was hoping the question would be something like what is x: 6 * x = 12

lol sorry i let you down....

 

[Vortex22]

You can do it with an example fairly easily I would think.
10 Oranges
30 Apples

5 Yellow apples
25 Red apples

So its 25/40 or 62.5%. Or did I screw something up horribly?

 

[Gagabiji]

^
Looks good to me...

 

[Uhtrinity]

Originally posted by: Vortex22
You can do it with an example fairly easily I would think.
10 Oranges
30 Apples

5 Yellow apples
25 Red apples

So its 25/40 or 62.5%. Or did I screw something up horribly?

I worked it as 5 red apples for every 1 yellow apple, and 2 oranges. The same ratio you got. So 5:8 or 62.5%.

The problem just looks hairier than it really is.

 

[JujuFish]

Originally posted by: Uhtrinity
I worked it as 5 red apples for every 1 yellow apple, and 2 oranges. The same ratio you got. So 5:8 or 62.5%.

Ditto.

 

[SpanishFry]

yep. 62.5

 

[James Bond]

5/8

A = Apples
B = Oranges

A = 3X
B = X

A = 3X = 5Y + Z
A(r) = 3X * 5Y
A(g) = 3X * Z

B = 1/3A

p(A(r)) = 3X * 5Y = 15
p(A(g)) = 3X * Z = 3
p(B) = A * 1/3 = 18 * 1/3 = 6

A(r)/((A(g))+(A(r))+(B)) = (15)/(3+8+15) = 15/24 = 5/8