F The ratio of green apple to red apples at a grocery store is 2 to 3. There are 78 red apple at the grocery store. What is the total number of apples at the store?

To determine the total number of apples at the grocery store, we can use the given ratio of green apples to red apples and the actual number of red apples. Here's a step-by-step solution: 1. **Understand the Ratio:** - **Green Apples : Red Apples = 2 : 3** 2. **Given Information:** - Number of Red Apples = 78 3. **Determine the Value of One Part in the Ratio:** - The ratio 2:3 means that for every **2 parts** of green apples, there are **3 parts** of red apples. - Total parts in the ratio = 2 (green) + 3 (red) = **5 parts** 4. **Find the Value of One Part:** - Since 3 parts correspond to 78 red apples: \[ \text{1 part} = \frac{78 \text{ red apples}}{3} = 26 \text{ apples} \] 5. **Calculate the Number of Green Apples:** - Green apples correspond to 2 parts: \[ 2 \text{ parts} = 2 \times 26 = 52 \text{ green apples} \] 6. **Calculate the Total Number of Apples:** - Total apples = Number of green apples + Number of red apples \[ \text{Total} = 52 \text{ (green)} + 78 \text{ (red)} = 130 \text{ apples} \] **Answer:** There are **130 apples** in total at the grocery store.