Calculate 3/7 and 1/3 of 210g: Finding Cake Ingredient Quantities

To solve this problem, we'll follow these steps:

• Step 1: Calculate the weight of the chocolate cookies.
• Step 2: Calculate the weight of the coconut.
• Step 3: Add these two weights to find the total weight of both components.

Step 1: Calculate the weight of the chocolate cookies:
The fraction of the total ingredients that are chocolate cookies is $\frac{3}{7}$. Thus, the weight of the chocolate cookies is:

$\text{Weight of chocolate cookies} = \frac{3}{7} \times 210 = 90 \text{ grams}$

Step 2: Calculate the weight of the coconut:
The fraction of the total ingredients that are coconut is $\frac{1}{3}$. Thus, the weight of the coconut is:

$\text{Weight of coconut} = \frac{1}{3} \times 210 = 70 \text{ grams}$

Step 3: Add these two weights together:
To find the total weight of the chocolate cookies and coconut, we sum the individual weights:

$90 \text{ grams (chocolate cookies)} + 70 \text{ grams (coconut)} = 160 \text{ grams}$

Therefore, the total weight of chocolate cookies and coconut in the cake is 160 grams.