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This equation shows how the amount of peanut butter Lamar has left is related to the number of sandwiches he makes.

p = –2s + 19

The variable s represents the number of sandwiches he makes, and the variable p represents the amount of peanut butter remaining. What is the maximum number of sandwiches Lamar can make if he wants to have 5 ounces of peanut butter left?

1 answer

To find the maximum number of sandwiches Lamar can make while having 5 ounces of peanut butter remaining, we can substitute \( p = 5 \) into the equation \( p = -2s + 19 \).

Starting with the equation:

\[ p = -2s + 19 \]

Substituting \( p = 5 \):

\[ 5 = -2s + 19 \]

Now, we will solve for \( s \):

  1. Subtract 19 from both sides:

\[ 5 - 19 = -2s \]

\[ -14 = -2s \]

  1. Divide both sides by -2:

\[ s = \frac{-14}{-2} = 7 \]

Thus, the maximum number of sandwiches Lamar can make while having 5 ounces of peanut butter left is 7 sandwiches.