1. **State the problem:** Ivanna has a prepaid card with 20 on it. She buys ribbon at 0.11 per yard and has 16.04 left. We need to find how many yards she bought. 2. **Set up the linear equation:** Let $x$ be the number of yards bought. The total cost is price per yard times yards, so cost = $0.11x$. 3. **Write the equation for the remaining balance:** $$20 - 0.11x = 16.04$$ 4. **Solve for $x$:** Subtract 16.04 from both sides: $$20 - 0.11x - 16.04 = 16.04 - 16.04$$ $$3.96 - 0.11x = 0$$ 5. **Isolate $x$:** $$3.96 = 0.11x$$ Divide both sides by 0.11: $$\frac{3.96}{\cancel{0.11}} = \frac{0.11x}{\cancel{0.11}}$$ $$x = \frac{3.96}{0.11}$$ 6. **Calculate the value:** $$x = 36$$ **Answer:** Ivanna bought 36 yards of ribbon.