Answer :

shindosaulong
Question The Not First One
20 sharpened to ?unsharpened and the total is 36
20+X=36
subtract 20 from both sides
X=16
the ratio is 
20:16 
or 
5:4 (D)

Question The Other One

The ratio is
1/6 (pistachios) to 1/3 (almonds) to 1/2 (cashews)
Batch 1
1 (pistachios) 2 (Almonds) ?
? P, 2/3 A, 1 C
4/3 P, ?A, ?C

First, I will find the total amount for all of them

Batch 1- 1 is 1/6 of the full thing so the full thing is 6
Batch 2- 1 is 1/2 if the full so the full is 2
Batch 3- 4/6 is 1/6 of the totals amount so the full is 4

Batch 1- The answer is 3
Batch 2- The answer is 1/3 or 2/6
Batch 3 Almonds- 1  1/3
Batch 3 Cashews- 2












Geekhawk
pistachios make up [tex] \frac{1}{6} [/tex]

almonds make up [tex] \frac{1}{3} [/tex]

cashews make up [tex] \frac{1}{2} [/tex]

Batch 1:

1 cup in pistachios( (which is 1/6) which means there are 5 other cups )and 2 cups in almonds so that leaves [tex] \frac{3}{6} or \frac{1}{2} [/tex] left so the answer is 3 cashews

Answer=3 cups of cashews 

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Batch 2:


1 cup of cashews which makes up [tex] \frac{1}{2} [/tex]or [tex] \frac{3}{6} [/tex] of the batch and there are [tex] \frac{2}{3} [/tex] of a cup of almonds so that leaves only [tex] \frac{1}{3} or \frac{2}{6} [/tex] as the only option left

Answer= [tex] \frac{2}{6} [/tex] of pistachios

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Batch 3:

[tex] \frac{4}{6} [/tex] is the amount of pistachios and it makes up [tex] \frac{1}{6} [/tex] of the batch which means that there are six [tex] \frac{4}{6} [/tex] but cashews always make up [tex] \frac{1}{2} [/tex] so you get [tex] \frac{12}{6} [/tex] which is equivalent to two so that leaves two [tex] \frac{4}{6} [/tex] which you add and that makes [tex] \frac{8}{6} [/tex] which is equivalent to [tex]1 \frac{2}{6} [/tex] or [tex]1 \frac{1}{3} [/tex]

Your answer:

There is [tex] \frac{4}{6} [/tex] pistachios

There is [tex]1 \frac{1}{3} [/tex] of almonds

There is 2 cups of cashews

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Second problem for pencils 

There is a total of 36 pencils

20 are sharpened

So that leaves 20:16

divide each side by 4

That leaves 5:4