1. **State the problem:** There are 20 more peppermints than lifesavers in a bowl, and the total number of candies is 48. We need to find how many peppermints and lifesavers there are. 2. **Define variables:** Let $x$ be the number of lifesavers. 3. **Express peppermints in terms of lifesavers:** Since there are 20 more peppermints than lifesavers, peppermints = $x + 20$. 4. **Write the total candy equation:** Total candies = lifesavers + peppermints, so $$x + (x + 20) = 48$$ 5. **Simplify the equation:** $$2x + 20 = 48$$ 6. **Isolate $x$:** $$2x = 48 - 20$$ $$2x = 28$$ 7. **Divide both sides by 2:** $$\cancel{2}x = \cancel{2}14$$ $$x = 14$$ 8. **Find peppermints:** $$x + 20 = 14 + 20 = 34$$ 9. **Answer:** There are 14 lifesavers and 34 peppermints in the bowl.