Question

At a farmers market, Taylor buys 4 pounds of cherries, 2 pounds of strawberries, and 3 pounds of blueberries for $29.51. Heather buys 1 pound of cherries, 4 pounds of strawberries, and 2 pounds of blueberries for $21.83. Jamie buys 2 pounds of cherries and 5 pounds of strawberries for $21.93. Which system of equations models this situation, where crepresents cherries, s represents strawberries, and b represents blueberries?

A. 4c+2s+3b=29.51
4s+2b=21.83
2c+5s=21.93

B. 4c + 2s + 3b=29.51
c + 4s + 2b=21.83
2c+5s=21.93

C. 4c + 2s + 3b=29.51
c+4s+2b=21.83
2c+5s+b=21.93

D. 4c + 2s + 3b=29.51
c+2s+4b=21.83
2c+5s=21.93

Answer 1

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.