1. **Problem statement:** Susan wants to earn 20 dollars for the Charity Jar. She earned 14 one-half dollars, 22 one-fourth dollars, and 11 one-fifth dollars. We need to find out if she has reached her goal, and if so, by how much, or if not, how far she is from the goal. 2. **Formula and approach:** To find the total amount earned, multiply the number of coins by their values and sum all amounts: $$\text{Total} = 14 \times \frac{1}{2} + 22 \times \frac{1}{4} + 11 \times \frac{1}{5}$$ 3. **Calculate each term:** $$14 \times \frac{1}{2} = \frac{14}{2} = 7$$ $$22 \times \frac{1}{4} = \frac{22}{4} = \frac{11}{2} = 5.5$$ $$11 \times \frac{1}{5} = \frac{11}{5} = 2.2$$ 4. **Sum all amounts:** $$7 + 5.5 + 2.2 = 14.7$$ 5. **Compare to goal:** Susan's goal is 20 dollars. $$20 - 14.7 = 5.3$$ Since 14.7 is less than 20, Susan has not reached her goal. 6. **Answer:** Susan is $5.3$ dollars short of her $20$ goal. **Final answer:** Susan has not reached her goal and is $\boxed{5.3}$ dollars away from it.