Kali mixed together 9 gal. of the Brand Q fruit drink and 6 gal. of Brand B fruit drink which contains 5% fruit juice. Find the percentage of fruit juice in Brand A if the mixture contained 11% fruit juice
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answer : 15%
explanation : let percentage of fruit juice in brand A is x.
a/c to question,
9 gallons of brand A fruit drink and 6 gallons of brand B fruit drink( 5% of fruit juice ) are mixed together to form a mixture containing 11% fruit juice.
x % of 9 + 5 % of 6 = 11% of (9 + 6)
or, 9x/100 + 5 × 6/100 = 11 × 15/100
or, 9x + 30 = 165
or, 9x = 135
or, x = 15
hence, percentage of fruit juice in brand A is 15%
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