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Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture

Yall don't like me Ima cry

User Andres SK
by
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2 Answers

2 votes

Answer:


45\%

Explanation:

The 200g mixture of dark chocolate is 60% cocoa, meaning there are
200\cdot 0.6=120 grams of cocoa in this mixture.

The 200g mixture of milk chocolate is 30% cocoa, meaning there are
200\cdot 0.3=60 grams of cocoa in this mixture.

When mixed together there are a total of 200+200=400 grams of content. Of these 400 grams, 120+60=180 of them are cocoa.

Thus, the concentration of cocoa in the resulting mixture is:


(180)/(400)=\fbox{$45\%$}

User Tsuna
by
5.0k points
9 votes

Answer:

180 grams

Explanation:

grams of dark chocolate= 200 % cocoa =60%

Grams of milk chocolate: 200 % cocoa=30%

Amount of cocoa in mixture:

(proportion of milk chocolate+ dark chocolate)

(30% of 200)+60% of 200)

(0.3* 200)+(0.6 *200)

60+120

=180 grams

User Arnelism
by
4.5k points