How Much Does Each Golf Ball Cost in This Algebra Problem?

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Homework Help Overview

The problem involves a story scenario where the cost of new and used golf balls is being calculated. The original poster presents an equation based on the total cost of the balls and the relationship between their prices.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to set up an equation to solve for the cost of each type of golf ball but expresses uncertainty about its correctness. Other participants question the validity of the equation and seek clarification on the original poster's reasoning.

Discussion Status

The discussion reflects a mix of attempts to clarify the equation and the original poster's realization of a mistake in their calculations. Some participants provide feedback on the equation's structure, while others share their experiences of studying fatigue affecting their problem-solving process.

Contextual Notes

The original poster mentions feeling overwhelmed after studying for an extended period, which may have impacted their ability to accurately process the problem. There is also a note about the original equation being perceived as incorrect initially, leading to further exploration of its validity.

ProjectTruth
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<< Mentor Note -- Thread moved from the technical math forums, so no HH Template is shown >>

Hey guys, could use some insight here...

So this is a basic story problem:

"I paid $22.30 for 6 new golf balls and 10 used balls. If each new ball costs $.65 more than a used ball,how much did I pay for each type of ball?"

I assumed it was as simple as:

10x+6(x+.65)=22.30

But that is apparently incorrect...

I'm banging my head against a wall... maybe the fact that I've been studying for an hour or two straight doesn't help as its psyching me out,but I feel like this is much more difficult then it should be...

My mind is blank right now,what am I missing?
 
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Why do you say it is incorrect? It looks to me like the correct equation to give the price of a used ball.
 
phinds said:
Why do you say it is incorrect? It looks to me like the correct equation to give the price of a used ball.

Holy smokey.

Man I need to learn how to take breaks in between studying...

I re-did my equation and came up with the correct answer...

Thanks anyway,haha.
 
ProjectTruth said:
Holy smokey.

Man I need to learn how to take breaks in between studying...

I re-did my equation and came up with the correct answer...

Thanks anyway,haha.
Are you saying the equation you posted originally is NOT correct? If not, why not?
 
phinds said:
Are you saying the equation you posted originally is NOT correct? If not, why not?

No, the equation was correct,as I assumed,but my mind was so fried from studying I forgot to multiply .65 by 6 when distributing...:headbang:

Ah well,thanks again
 

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