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

Question

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

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RobertKer 5 years 2021-07-17T15:26:45+00:00 1 Answers 14 views 0

Answers ( )

    0
    2021-07-17T15:28:38+00:00

    Answer:

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

    Step-by-step 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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