Jennie bought a bag of jelly beans from Sweet Tooth Confectionery. There are 14 cherry jelly beans in the bag. If \( \frac{2}{5} \) of the bag is cherry, how many total jelly beans, \( j \), are in the bag?

To determine the total number of jelly beans in the bag, let's break down the problem step by step. **Given:** - Number of cherry jelly beans = 14 - Cherry jelly beans constitute \( \frac{2}{5} \) of the total jelly beans. **Let \( j \) represent the total number of jelly beans in the bag.** **Step 1: Set Up the Equation** Since \( \frac{2}{5} \) of the total jelly beans are cherry, we can write the equation as: \[ \frac{2}{5} \times j = 14 \] **Step 2: Solve for \( j \)** To find \( j \), multiply both sides of the equation by the reciprocal of \( \frac{2}{5} \), which is \( \frac{5}{2} \): \[ j = 14 \times \frac{5}{2} \] \[ j = 14 \times 2.5 \] \[ j = 35 \] **Answer:** There are **35** jelly beans in the bag.