A company has two types of almonds, 750 kg of
type - I and 1200 kg of type - II. These are to be
mixed and packed into two types of packets of 1
kg each, economy pack and special pack. The
economy pack consists of type - I and type - II
nuts in the proportion 1 : 3. The special pack
combines the type - I and type - II nuts in equal
proportions. Find the number of economy and
special packs.
Answers
the number of economy and special packs are 900 & 1050 respectively
Step-by-step explanation:
Let say Economy Package are E
and Special Package = S
economy pack consists of type - I and type - II nuts in the proportion 1 : 3
Type I nut in economy pack = E/4
Type II nut in economy pack = 3E/4
Special pack combines the type - I and type - II nuts in equal proportions.
Type I nut in Special pack = S/2
Type II nut in Special pack = S/2
E/4 + S/2 = 750
=> E + 2S = 3000
3E/4 + S/2 = 1200
=> 3E + 2S = 4800
=> 2E = 1800
=> E = 900
S = 1050
the number of economy and special packs are 900 & 1050 respectively
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