Grade 6 Ratios Worksheet Itsinventory time at the fruit and vegetable store. Help by answering the questions, using ratios. \( \begin{array}{ll}\text { 1. The ratio of tomatoes to red } & \text { 2. The ratio of berries to } \\ \text { apples is } 2: 5 \text {. If there are } 20 & 10: 1 \text {. If there are } 25 \\ \text { tomatoes, how many red apples } & \text { how many berries ar } \\ \text { are there? } & \end{array} \)

Let's solve the problems step by step. ### 1. The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there? The ratio of tomatoes to red apples is given as 2:5. This means that for every 2 tomatoes, there are 5 red apples. To find out how many red apples correspond to 20 tomatoes, we can set up a proportion based on the ratio: \[ \frac{\text{Tomatoes}}{\text{Red Apples}} = \frac{2}{5} \] Let \( x \) be the number of red apples. We can write the equation: \[ \frac{20}{x} = \frac{2}{5} \] Now, we can cross-multiply to solve for \( x \): \[ 2x = 20 \times 5 \] \[ 2x = 100 \] \[ x = \frac{100}{2} \] \[ x = 50 \] So, if there are 20 tomatoes, there are **50 red apples**. ### 2. The ratio of berries to apples is 10:1. If there are 25 apples, how many berries are there? The ratio of berries to apples is given as 10:1. This means that for every 1 apple, there are 10 berries. To find out how many berries correspond to 25 apples, we can set up a proportion based on the ratio: \[ \frac{\text{Berries}}{\text{Apples}} = \frac{10}{1} \] Let \( y \) be the number of berries. We can write the equation: \[ \frac{y}{25} = \frac{10}{1} \] Now, we can cross-multiply to solve for \( y \): \[ y \cdot 1 = 10 \cdot 25 \] \[ y = 250 \] So, if there are 25 apples, there are **250 berries**. ### Summary of Answers: 1. There are **50 red apples**. 2. There are **250 berries**.