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Shani has 2 chocolate bas. One has 60% cacao and the other 92% calco

What mass of each bar must she mix to obtain 400g of chocolate
with 72% cacao

1 Answer

10 votes

Answer:

250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Explanation:

Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:

100 x 0.6 + 0 x 0.92 = 60

90 x 0.6 + 10 x 0.92 = 63.2

80 x 0.6 + 20 x 0.92 = 66.4

70 x 0.6 + 30 x 0.92 = 69.6

65 x 0.6 + 35 x 0.92 = 71.2

63 x 0.6 + 37 x 0.92 = 71.84

62.5 x 0.6 + 37.5 x 0.92 = 72

400 x 0.625 = 250

Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

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