Final answer:
Caden poured out 2 4/15 pints of water onto his plants. This was calculated by subtracting the amount of water left in the pitcher from the initial amount of water in the pitcher and representing the problem as an equation.
Step-by-step explanation:
To find out how many pints of water Caden poured onto his plants, we need to determine the difference between the amount of water he started with and the amount of water left in the pitcher. Caden started with 3 2/3 pints of water in the pitcher and ended with 1 2/5 pints. To solve this, we need to subtract the two quantities.
Step-by-step Solution
1. Convert the mixed numbers to improper fractions: 3 2/3 = (3 × 3) + 2/3 = 11/3 pints, and 1 2/5 = (1 × 5) + 2/5 = 7/5 pints.
2. Subtract the smaller fraction from the larger one: 11/3 pints - 7/5 pints.
3. Find a common denominator, which is 15, and convert both fractions: (11 × 5)/(3 × 5) - (7 × 3)/(5 × 3) = 55/15 pints - 21/15 pints.
4. Subtract the two fractions: 55/15 pints - 21/15 pints = 34/15 pints.
The result is 34/15 pints, which is equivalent to 2 4/15 pints. Therefore, this is the amount of water Caden poured onto his plants.
To represent this word problem as an equation, we express it as follows:
Initial Volume - Remaining Volume = Volume Poured Out
11/3 pints - 7/5 pints = Volume Poured Out