A mixture contains equi-molar quantities of carbonates of two bivalent metals. One metal is present the extent of `13.5%` by weight in the mixture and `2.50 g` of the mixture on heating leaves a residue of `1.18 g`. Calculate the percentage by weight of the other metal.

Explanation

To solve the problem step by step, we will follow the information given in the question and the calculations described in the video transcript.

### Step 1: Understand the Problem
We have a mixture of carbonates of two bivalent metals (let's call them M and N). The mixture weighs 2.50 g, and one of the metals (M) is present at 13.5% by weight. Upon heating, the mixture leaves a residue of 1.18 g.

### Step 2: Calculate the Mass of Carbon Dioxide Produced
To find the mass of carbon dioxide produced during the heating process, we subtract the mass of the residue from the mass of the mixture:
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