Adam will plant up to 41 acres on his farm with wheat and corn. Fewer than 28 acres will be planted with corn.

Question

Let represent the number of acres of wheat and c represent the number of acres of corn. Identify two inequalities that represent this situation.

Answer 1

To represent the situation with inequalities, we can start by defining the variables:

• Let \( w \) represent the number of acres planted with wheat.
• Let \( c \) represent the number of acres planted with corn.

Now, we know two key pieces of information:

1. Adam will plant up to 41 acres in total. This can be represented by the inequality: \[ w + c \leq 41 \]

2. Fewer than 28 acres will be planted with corn, which can be represented by the inequality: \[ c < 28 \]

Putting it all together, the two inequalities that represent this situation are:

1. \( w + c \leq 41 \)
2. \( c < 28 \)