Demetrius can spend as much as $50 on shirts. Shirts, s, cost $16 each at a nearby store. Which inequality represents this situation?

50s <_16
50s >_16
16s>_50
16<_50

1 answer

The situation involves Demetrius wanting to spend no more than $50 on shirts that cost $16 each. The total cost for \( s \) shirts can be expressed as \( 16s \). Since he can spend up to $50, we can set up the inequality as follows:

\[ 16s \leq 50 \]

This can be written as:

\[ 16s \leq 50 \]

If we refer to the options provided:

  1. \( 50s \leq 16 \)
  2. \( 50s \geq 16 \)
  3. \( 16s \geq 50 \)
  4. \( 16 \leq 50 \)

None of the given options accurately represent \( 16s \leq 50 \). If you have the choice to create your own inequality, it should be:

\[ 16s \leq 50 \]

If you need to choose the closest or a relevant option, it’s important to note that none of those options align with the correct formulation of the situation.