Jasmine is planning water balloon activities for the end-of-season team party. She already has 250 water balloons and plans to order "bundles" of 36 auto-fill water balloons. Jasmine wants at least 1,200 water balloons for the water games and water balloon fight.

Which inequality correctly represents the minimum number of bundles of 36 water balloons, x, that Jasmine should order to have at least 1,200 balloons?

1 answer

To determine the minimum number of bundles of 36 water balloons (denoted as \( x \)) that Jasmine should order, we first need to set up the inequality based on the total number of water balloons she wants.

Jasmine already has 250 water balloons and plans to order \( 36x \) water balloons from the bundles. She wants the total to be at least 1,200 balloons. This can be expressed with the following inequality:

\[ 250 + 36x \geq 1200 \]

This inequality states that the number of water balloons Jasmine has (250) plus the number she orders from the bundles (36 times the number of bundles \( x \)) needs to be greater than or equal to 1,200.

So, the correct inequality representing the situation is:

\[ 250 + 36x \geq 1200 \]