Final answer:
The amount of water Caden poured onto his plants is obtained by subtracting the remaining water from the initial amount. The calculated result is 2 4/15 pints, which is option B.
Step-by-step explanation:
The subject of this question is Mathematics, and it involves subtracting mixed numbers to determine the quantity of water Caden poured onto his plants. To represent this scenario as an equation, we need to subtract the final amount of water from the initial amount that Caden had.
Let the amount of water Caden initially had be represented by 3 2/3 pints. After pouring some out, he was left with 1 2/5 pints. The equation to represent this is:
Initial amount - Amount poured = Final amount
In terms of the given values, we can set up the equation as:
3 2/3 pints - x pints = 1 2/5 pints
To find x, the amount of water Caden poured onto his plants, we need to rearrange the equation:
x pints = 3 2/3 pints - 1 2/5 pints
Converting the mixed numbers to improper fractions, we get:
x pints = 11/3 pints - 7/5 pints
Before subtracting, we need a common denominator, which would be 15 in this case. So, we convert the fractions as follows:
x pints = (11/3) * (5/5) pints - (7/5) * (3/3) pints
x pints = 55/15 pints - 21/15 pints
The subtraction gives us:
x pints = (55 - 21) / 15 pints
x pints = 34/15 pints
To make it a mixed number, we have:
x = 2 4/15 pints
Therefore, Caden poured 2 4/15 pints of water onto his plants, which corresponds to option B.