Represent and solvel The zookeeper has 6 cups of frog food. His frogs eat \( 1 / 2 \) cup of food per day. How many days will this food feed the frogs? Watel

To solve the problem, we need to determine how many days the zookeeper's 6 cups of frog food will last if the frogs eat \( \frac{1}{2} \) cup of food per day. ### Step 1: Identify the known conditions - Total food available: \( 6 \) cups - Daily consumption per frog: \( \frac{1}{2} \) cup ### Step 2: Set up the equation Let \( d \) be the number of days the food will last. The total amount of food consumed over \( d \) days can be expressed as: \[ \text{Total food consumed} = d \times \left(\frac{1}{2}\right) \] ### Step 3: Set up the equation based on the total food available We know that the total food consumed must equal the total food available: \[ d \times \left(\frac{1}{2}\right) = 6 \] ### Step 4: Solve for \( d \) To find \( d \), we can rearrange the equation: \[ d = 6 \div \left(\frac{1}{2}\right) \] Dividing by a fraction is the same as multiplying by its reciprocal: \[ d = 6 \times 2 \] Now, we can calculate \( d \): \[ d = 12 \] ### Conclusion The food will feed the frogs for \( 12 \) days.