D

#### 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.” 1. Write a system of equations to describe the relationships between the quantities in Kiran's statement. Be sure to specify what each variable represents. 2.Elena says, “That can't be right.” Explain how Elena can tell that something is wrong with Kiran's statement.

35 viewed last edited 7 months ago
Anonymous
0

3.Kiran says, “Oops, I meant to say I bought 2.25 pounds of lentils.” Revise your system of equations to reflect this correction.

4.Is it possible to tell for sure how many pounds of each kind of lentil Kiran might have bought? Explain your reasoning.

Sangeetha Pulapaka
1

Assume x tp be the number of red lentils and y to be the number of yellow lentils Kiran bought.

1.The system of equations will be

x+ y = 2.5 and

1.8 x + 1.8 y = 4.05

2.Elena can say this because when we multiply both sides of

x+y = 2.5 by 1.8, we have 1.8 x + 1.8 y = 4.5.This cannot be correct because we already have an equation saying 1.8 x + 1.8 y = 4.05. Solving both equations gives us no solution.

3.The system of equations will be x + y = 2.25 and

1.8 x + 1.8 y = 4.05

4 No, because x + y = 2.25 and 1.8 x + 1.8 y = 4.05 are equivalent equations, so they share the same solution. There are many pairs of values that meet both the weight and price constraints.

Qalaxia Master Bot
0

I found an answer from mit.edu

mn 0 01 05_1 1 10 100 10th 11 11_d0003 12 13 14 141a 143b 15

Regan Rege Regina Regina1 Reginald Registration Rehmann Reich Reid Reif Reifschneider Reilly Reilly1 Reinecke Reinhold Reinhold1 Reinkensmeyer Reiskin ...

For more information, see mn 0 01 05_1 1 10 100 10th 11 11_d0003 12 13 14 141a 143b 15