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Question

A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added.
Parts of red pigment1471220Parts of base8

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Solution

Let the ratio of parts of red pigment and parts of base be
ab.
Herea1=1,b1=8a1b1=18=k (say)Whena2=4,b2=? k=a2b2b2=a2k=418=4×8=32Whena3=7,b3=? k=a3b3b3=a3k=718=7×8=56Whena4=12,b4=? k=a4b4b4=a4k=1218=12×8=96Whena5=20,b5=? k=a5b5b5=a5k=2018=20×8=160

Parts of red pigment1471220Parts of base8325696160

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