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

Click For Summary
SUMMARY

The discussion centers on solving a story problem involving the cost of golf balls. The user initially formulated the equation 10x + 6(x + 0.65) = 22.30, which was deemed incorrect due to a distribution error. The user later realized the mistake was in failing to multiply 0.65 by 6 during distribution, leading to the correct solution. This highlights the importance of careful equation handling in algebraic problem-solving.

PREREQUISITES
  • Basic algebraic equation formulation
  • Understanding of distribution in algebra
  • Ability to solve linear equations
  • Familiarity with word problems in mathematics
NEXT STEPS
  • Practice solving linear equations with multiple variables
  • Learn about common mistakes in algebraic distribution
  • Explore techniques for breaking down word problems
  • Review algebraic concepts related to pricing and cost analysis
USEFUL FOR

Students studying algebra, educators teaching mathematics, and anyone looking to improve their problem-solving skills in word problems.

ProjectTruth
Messages
17
Reaction score
2
<< 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?
 
Last edited by a moderator:
Physics news on Phys.org
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
 

Similar threads

Undergrad How weather conditions affect a golf shot
  • · Replies 6 ·
Replies
6
Views
3K
High School How to characterize a rubber ball moving horizontally and bouncing off of a vertical wall?
  • · Replies 8 ·
Replies
8
Views
2K
How far can a golf ball travel on the moon?
  • · Replies 25 ·
Replies
25
Views
17K
How Far Does a Golf Ball Travel When Struck at 30 Degrees?
  • · Replies 1 ·
Replies
1
Views
2K
How to get better at theoretical homework problems
  • · Replies 2 ·
Replies
2
Views
1K
Moivre-Laplace theorem (homework)
  • · Replies 7 ·
Replies
7
Views
2K
Golf Ball Question: How Far Does It Travel?
  • · Replies 1 ·
Replies
1
Views
2K
How Does a Dog Running on a Ball Affect Its Motion on an Inclined Plane?
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad The Price of Beer - Linear Algebra Problem
  • · Replies 44 ·
2
Replies
44
Views
5K
How Far Will a Golf Ball Fly When Hit at an Angle?
  • · Replies 8 ·
Replies
8
Views
4K