In cinema hall 3/8 of the audience were adultAnd the the rest were the children 2/3 of the children were girlsA) what fraction of the audience were childrenB) what fraction of the audience were girlsC) what fraction of the audience were boysGive each answer as the fraction in its simplest form
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Step-by-step explanation:
prove that log3 64÷log9 8=4
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LET AUDIENCE BE X ,AND CHILDREN BE Y
X = Y + 3×X /8
Y = X_ 3X/8
Y = 5X/8
therefore ,5/8 0f audience were children .
girls = 2/8 of y
= 2/8 × 5X/8
= 10X/64
= 5X/32
therefore , 5/32 of audience were girls .
y = no. of children .
let z be no. of boys .
Therefore ,
Y = girls + boys
Y = 5X/32 + Z
5X/8 _5X/32 = Z
Z = 160X _ 40X /256
Z = 120X/256
Z = 15X/32 .
THEREFORE , 15/32 of audience were boys .
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