Eighteen oranges are packaged in 3 containers. How many oranges are packaged in 7 containers? Write and solve a proportion to determine your answer. Proportion: Steps: Solution:

Sure, let's solve the problem step by step by setting up and solving a proportion. --- ### **Proportion:** \[ \frac{18\ \text{oranges}}{3\ \text{containers}} = \frac{x\ \text{oranges}}{7\ \text{containers}} \] --- ### **Steps:** 1. **Set Up the Proportion:** - You know that 18 oranges are packaged in 3 containers. - You want to find out how many oranges (`x`) are in 7 containers. - This relationship can be expressed as a proportion. 2. **Cross-Multiply to Solve for \( x \):** - Multiply the numerator of the first fraction by the denominator of the second fraction. - Multiply the numerator of the second fraction by the denominator of the first fraction. 3. **Isolate \( x \):** - After cross-multiplying, solve the resulting equation for \( x \). --- ### **Solution:** 1. **Set Up the Proportion:** \[ \frac{18}{3} = \frac{x}{7} \] 2. **Cross-Multiply:** \[ 18 \times 7 = 3 \times x \] \[ 126 = 3x \] 3. **Solve for \( x \):** \[ x = \frac{126}{3} \] \[ x = 42 \] --- **Therefore, there are **42 oranges** packaged in **7 containers**.**