Question

Kiran says, "i bought 2.5 pounds of red and yellow lentils. both were $1.80 per pound. i spent a total of $4.05." a. does the following system of equations correctly describe the relationships between the quantities in kiran's statement if x is the pounds of red lentils and y is the pounds of yellow lentils?

(a) The system accurately models Kiran's statement, allowing for the determination of the pounds of red and yellow lentils and the total cost based on the given price per pound.

(b) The system lacks mathematical precision and does not effectively represent Kiran's information, leading to potential errors in determining quantities and costs.

(c) The system is mathematically valid for representing the relationship between the pounds of red and yellow lentils but does not consider the total cost.

(d) The system is suitable for calculating the total cost but does not correctly address the mathematical relationships between the pounds of red and yellow lentils.

Answer 1

The system of equations correctly models Kiran's statement about the red and yellow lentils.

Step-by-step explanation:

The given statement can be represented by the following system of equations:

x + y = 2.5 (equation 1)

1.8x + 1.8y = 4.05 (equation 2)

Equation 1 represents the relationship between the pounds of red and yellow lentils, while equation 2 represents the relationship between the total cost and the pounds of red and yellow lentils.

Therefore, the correct answer is option (a) - The system accurately models Kiran's statement, allowing for the determination of the pounds of red and yellow lentils and the total cost based on the given price per pound.