SOLUTION:
Step 1:
In this question, we are given the following:
The brooch contains 23 grams of pure silver, which is 85% of its total weight. Calculate the weight of the brooch.
Give the answer rounded to the nearest whole number.
Step 2:
The details of the solution are as follows:
![\begin{gathered} If\text{ 23 grams = 85\%} \\ \text{ x grams = 100\%} \\ crss-muliply,\text{ we have that:} \\ 85\text{ x = 100 \lparen 23\rparen} \\ 85\text{x = 2300} \\ x\text{ = }(2300)/(85) \\ \text{x =27.05882353} \\ x\text{ = 27 grams \lparen to the nearest whole number\rparen} \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ysokua4l0xnfy8ir0sojk9bdsd97hj2odg.png)
CONCLUSION:
The final answer is:
![27\text{ grams \lparen to the nearest whole number\rparen}](https://img.qammunity.org/2023/formulas/mathematics/college/5utl44ptwfdgzijx2e13mcqcyyqn4zyh1n.png)