Question

Given the equations:

C + W = 144
0.25W = C
Which equation represents the relationship between the number of acres of corn (C) and wheat (W)?

a) C + W = 144; 0.25 = W
b) C + W = 144; 0.25W = C
c) C + W - 144; 1.20 = W
d) C + W = 144; 1.25W = C

Answer 1

The correct equation that represents the relationship between the number of acres of corn (C) and wheat (W) is C + W = 144; 0.25W = C (option b).

Step-by-step explanation:

The correct equation that represents the relationship between the number of acres of corn (C) and wheat (W) is C + W = 144; 0.25W = C (option b).

To determine this, we can start by understanding the given equations. The first equation, C + W = 144, represents the total number of acres of corn and wheat combined, which should be equal to 144. The second equation, 0.25W = C, represents the relationship between the number of acres of wheat and corn, stating that 0.25 times the number of acres of wheat should be equal to the number of acres of corn.

By substituting the value of C from the second equation into the first equation (0.25W = C), we get 0.25W + W = 144, which simplifies to 1.25W = 144. Therefore, the correct equation representing the relationship between the number of acres of corn and wheat is C + W = 144; 0.25W = C.