Help with system of equations: using profits

Click For Summary
SUMMARY

The discussion focuses on solving a system of equations related to Keller Industries' profits, specifically addressing a $20,000 increase representing a 25% rise from the previous year. The two equations derived are: T = L + 20,000 and T = L * 1.25, where T is this year's profit and L is last year's profit. Participants debated the most efficient method for solving the system, with the addition and substitution methods being considered. The consensus is that both equations are necessary to determine the profits accurately.

PREREQUISITES
  • Understanding of basic algebraic concepts
  • Familiarity with systems of equations
  • Knowledge of percentage calculations
  • Proficiency in solving equations using addition and substitution methods
NEXT STEPS
  • Practice writing systems of equations from word problems
  • Learn to solve systems of equations using the substitution method
  • Explore the addition method for solving systems of equations
  • Study percentage increase calculations in financial contexts
USEFUL FOR

Students, educators, and professionals in finance or mathematics who are looking to enhance their skills in solving systems of equations and understanding profit calculations.

notgoodatmath
Messages
2
Reaction score
0
I've been having a difficult time with system of equations I was wondering if I could have some assistants with system of equations. Here's the question

Question: Keller industries' profits were up $ 20,000 this year over last year. This was an increase of 25%.

a. Let T represent the profit this year and L the profit from last year and write a system of equations that can be used to determine the profits.b. Which method would be most efficient to solve this system (addition method or substitution method)? Explain

c.Using your system to determine the profit for this year and last year.

Two pieces of information are given:
∙ This year's profit is $20000 more than last year's profit.
∙ The increase is 25%.
You should write both in equation form. Then you get a system of two equations with two variables, which you can solve.

But how do i write the equations?
I have a few thoughts.
 
Physics news on Phys.org
notgoodatmath said:
I've been having a difficult time with system of equations I was wondering if I could have some assistants with system of equations. Here's the question

Question: Keller industries' profits were up $ 20,000 this year over last year. This was an increase of 25%.

a. Let T represent the profit this year and L the profit from last year and write a system of equations that can be used to determine the profits.b. Which method would be most efficient to solve this system (addition method or substitution method)? Explain

c.Using your system to determine the profit for this year and last year.

Two pieces of information are given:
∙ This year's profit is $20000 more than last year's profit.
∙ The increase is 25%.
You should write both in equation form. Then you get a system of two equations with two variables, which you can solve.

But how do i write the equations?
I have a few thoughts.

What thoughts have you had? Do you know how to express percentage increases?
 
SuperSonic4 said:
What thoughts have you had? Do you know how to express percentage increases?

Not exactly because I'm not sure were exactly to start. I know theirs two equations on for one year with a 200,000 increase than last year which was 25% more. But I don't understand where to start the problem? Is their two equations?
 
notgoodatmath said:
Not exactly because I'm not sure were exactly to start. I know theirs two equations on for one year with a 200,000 increase than last year which was 25% more. But I don't understand where to start the problem? Is their two equations?

There will be two equations - Part A pretty much tells you it's needed: One will be the absolute increase (20,000) and the other will be the percentage increase (25%)

For the first equation: This year's profit (T) is going to be last year's profit (L) + any extra (20,000).

For the second equation: T will be L multiplied by 1+%change/100 (25%)
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K