Write a story, describe a situation, or invent a scenario that can be represented by a 2-step equation or inequality. ✔️ You must define your variable (Let x = …)

✔️ You must include a question

✔️ SHOW ALL STEPS how to solve the equation or inequality.

✔️ You must explain what your solution means in your story.

2-step equation scenario:
Bob wanted to purchase 2 hats and a pack of gum at one store; the pack of gum was $1.50, but the 2 hats did not have a price. Bob went to another store and found only 1 of the exact same hats that he found at the first store, and a the same pack of gum for a total of $30.

Question: what store has the better deal, where the total will be equal to the second store’s prices?

‘h’ = the hats

Here’s the equation:

2h+1.50=30.

Steps:

1.) Subtraction Property of Equality (inverse properties to combine like terms and define ‘h’): 2h=28.5. We subtracted +1.50 to cancel it out and move it to the other side of the = to combine like terms.

2.) Division Property of Equality (inverse property used to isolate ‘h’). 2h/2=28.5/2=14.25. We divided 2 from 2h to cancel it out and get h alone.

Therefore h=14.25.

This means that store 1 has the better deal, since 2(14.25)+1.50=30. So, Bob can have 2 hats and the pack of gum at store 1 for the same price as only 1 hat and a pack of gum at store 2.