Jennie bought a bag of jelly beans from Sweet Tooth
Confectionery. There are 14 cherry jelly beans in the bag.
If of the bag is cherry, how many total jelly beans, , are in
the bag?

Question

Jennie bought a bag of jelly beans from Sweet Tooth
Confectionery. There are 14 cherry jelly beans in the bag.
If

of the bag is cherry, how many total jelly beans,

, are in
the bag?

UpStudy AI · Accepted Answer

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.
There are 35 jelly beans in the bag.

Upstudy AI Solution