So, we're told that for every gallon of water in the swimming pool there should be four grams of chlorine. In the most simple terms, it's simply we should have a ratio 4grams chlorine:1 gallon of water. We can solve it like any other proportion question as a result, giving us:
![image](https://img.qammunity.org/2019/formulas/mathematics/middle-school/mlnkpftly7xes4o5jxr3jo7iw5xjj4k9mp.png)
To solve this we want to multiply both sides by 13 gallons to get rid of the gallons and also to isolate the x, so:
![image](https://img.qammunity.org/2019/formulas/mathematics/middle-school/2qk24v4lon47il53or91n1vqjqcm29efse.png)
Which means we should add 42 grams of chlorine in a pool containing 13 gallons of watter.