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." Write a system of equations to describe the relationships between the quantities in Kiran's statement. Let x represent red lentils and let y represent yellow lentils.

Answer 1

The system of equations is given as:

x + y = 2.5 .... Equation 1

1.8x + 1.8y = 4.05....Equation 2

Explanation:

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

Let

x represent red lentils

y represent yellow lentils.

x + y = 2.5 .... Equation 1

x = 2.5 - y

$1.80 × x + $1.80 × y = $4.05

1.80x + 1.80y = 4.05....Equation 2

The system of equations is given as:

x + y = 2.5 .... Equation 1

1.8x + 1.8y = 4.05....Equation 2