Question

Write a real-world problem that could be represented by the inequality. 3x + 6 > 27

Answer 1

Hello! We see that 6 is the fixed amount. x represents the amount of something, and the solution makes a number $27. Let's make a real-world problem and then execute it.

Fawn has $6 in her piggy bank. She makes bracelets to sell to family & friends for $3 each. She wants to buy a video game that with tax, costs a little over $27. How many bracelets would Fawn have to sell in order to have enough money to buy the video game?

How to solve it:

So we have the expression of 3x + 6 > 27. First off, subtract 6 from both sides. 6 - 6 cancels out. 27 - 6 is 21. That's 3x > 21. Now, divide each side by 3 to isolate the x. 3x/3 cancels out. 21/3 is 7. There. x > 7. Fawn will have to sell more than 7 bracelets in order to have enough money for the game.