Final answer:
To find the total weight of the chocolate frosting with 55% cocoa powder using 495 grams of cocoa, a simple proportion is used. Solving the equation indicates that the total weight of the frosting is approximately 900 grams.
Step-by-step explanation:
If Mama bear's chocolate frosting is 55% cocoa powder, and she uses 495 grams of cocoa powder, we can find the total weight of the chocolate frosting by using a simple proportion. Since 55% of the frosting's weight is cocoa powder, we can set up an equation representing this relationship:
0.55 × (total weight of frosting) = 495 grams
Let's solve for the total weight of the frosting (W):
W = ÷ 495 grams ÷ 0.55 ≈ 900 grams
So, the total weight of the chocolate frosting that Mama bear would make is 900 grams.