A chocolate cake has 210 grams of ingredients.
of the ingredients are chocolate cookies and of the cake's ingredients are coconut.
How many grams of chocolate cookies and coconut are there in the cake?
We have hundreds of course questions with personalized recommendations + Account 100% premium
A chocolate cake has 210 grams of ingredients.
of the ingredients are chocolate cookies and of the cake's ingredients are coconut.
How many grams of chocolate cookies and coconut are there in the cake?
To solve this problem, we'll follow these steps:
Step 1: Calculate the weight of the chocolate cookies:
The fraction of the total ingredients that are chocolate cookies is . Thus, the weight of the chocolate cookies is:
Step 2: Calculate the weight of the coconut:
The fraction of the total ingredients that are coconut is . Thus, the weight of the coconut is:
Step 3: Add these two weights together:
To find the total weight of the chocolate cookies and coconut, we sum the individual weights:
Therefore, the total weight of chocolate cookies and coconut in the cake is 160 grams.
160
\( \)\( \frac{4}{5}+\frac{1}{5}= \)
Get unlimited access to all 18 Operations with Fractions questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime