Make a list of real life situations following this equation

Question

8(x+9)=144

Answer 1

To solve the equation \(8(x + 9) = 144\), we can first simplify it:

1. Divide both sides by 8: \[ x + 9 = 18 \]
2. Subtract 9 from both sides: \[ x = 9 \]

Now that we've simplified the equation, we can create real-life situations that reflect the equation \(8(x + 9) = 144\) or the solution \(x = 9\).

Real-Life Situations:

1. Group Project: A class is working on a project where each of the 8 groups needs to prepare an equal part of a presentation. If each group prepares 9 slides, the total number of slides made by all groups would be 144.

2. Book Distribution: A school library buys 8 sets of books. Each set contains 9 additional books added to a standard number of books. The total number of books purchased by the library equates to 144 books.

3. Party Planning: A party planner is organizing a birthday party. For every guest at the party (8 guests), they are providing 9 desserts. If they want to ensure they have enough desserts, the planner needs to prepare a total of 144 desserts.

4. Sports Practice: A coach has 8 teams, and each team practices 9 different drills. If the total drills practiced by all teams combine to 144, then the coach knows how to allocate practice time effectively.

5. Construction Material: A contractor orders 8 packs of materials, and each pack contains 9 items. For a project that requires a total of 144 items, this ensures the contractor has enough materials for construction.

6. Nutrition Planning: A nutritionist recommends that each of her 8 clients add 9 specific fruits to their weekly diet. Altogether, she advises her clients to consume a total of 144 fruits within the week.

7. Fundraising Campaign: A charity organizes a fundraiser where 8 volunteers each collect donations that average to 9 dollars. The total amount raised from all volunteers would reach 144 dollars.

These situations illustrate how the equation can apply to various practical scenarios.