SOLUTION: 1. A 40-kg mixture of white and dark chocolates is to be sold at Php55 per kilogram. White chocolates alone cost Php40 per kilogram, while dark chocolates alone cost Php80 per kilo
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Question 1188335: 1. A 40-kg mixture of white and dark chocolates is to be sold at Php55 per kilogram. White chocolates alone cost Php40 per kilogram, while dark chocolates alone cost Php80 per kilo- gram. How much white chocolate is needed in the 40-kg mixture? Answer by ikleyn(52786) (Show Source):
You can put this solution on YOUR website! .
A 40-kg mixture of white and dark chocolates is to be sold at Php55 per kilogram.
White chocolates alone cost Php40 per kilogram, while dark chocolates alone cost Php80 per kilogram.
How much white chocolate is needed in the 40-kg mixture?
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Take x kilograms of thedark chocolate and (40-x) kilograms of the white chocolate.
Then the cost of the mixture will be 80x + 40*(40-x), so you have this cost equation
80x + 40*(40-x) = 55*40.
From the equation,
x = = 15.
ANSWER. 15 kg of the dark chokolate and the rest, 40-15 = 25 kg of the white chocolate.
CHECK. = 55 Php per kilo of the mixture. ! Correct !
