Final answer:
The correct system of equations is B: 4c + 2s + 3b = 29.51, c + 4s + 2b = 21.83, and 2c + 5s = 21.93.
Step-by-step explanation:
The correct system of equations that models this situation is option B: 4c + 2s + 3b = 29.51, c + 4s + 2b = 21.83, and 2c + 5s = 21.93.
To determine the system of equations, we need to analyze the quantities and prices of each fruit that Taylor, Heather, and Jamie bought.
We assign variables to represent the pounds of each fruit (c for cherries, s for strawberries, and b for blueberries) and set up equations based on the given information.
From Taylor's purchase, we know that 4c + 2s + 3b = 29.51. From Heather's purchase, we know that c + 4s + 2b = 21.83. From Jamie's purchase, we know that 2c + 5s = 21.93.
By solving this system of equations, we can find the values of c, s, and b, which represent the individual prices of cherries, strawberries, and blueberries.