Systems of linear equations ()

Click For Summary
SUMMARY

To solve the problem of determining the number of Major League and Minor League baseball cards Sam has, we establish a system of linear equations. Let x represent the number of Major League cards and y represent the number of Minor League cards. The equations are: x + y = 50 (total cards) and 3.50x + 2.00y = 122.50 (total value). This system can be solved using substitution or elimination methods to find the values of x and y.

PREREQUISITES
  • Understanding of linear equations and systems of equations
  • Familiarity with algebraic manipulation techniques
  • Knowledge of substitution and elimination methods for solving equations
  • Basic arithmetic operations involving decimals
NEXT STEPS
  • Practice solving systems of linear equations using substitution
  • Explore elimination methods for solving linear equations
  • Learn how to graph systems of equations to find solutions visually
  • Study real-world applications of linear equations in problem-solving
USEFUL FOR

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

pkitten2007
Messages
1
Reaction score
0
Ok i have a problem that i just can't solve.:frown:

It says: sam has collected fifty baseball cards. The Major league baseball cards are worth $3.50 and the minor leagure baseball cards are worth $2.00 each. sam`s collection is worth $122.50

Q: Write a system of equations that can be used to determine the number of each type of card sam has .


Can anybody help me solve this problem?
 
Last edited by a moderator:
Physics news on Phys.org
I moved this question from the Tutorials section to the appropriate Homework Help forum, and removed some font formatting that made it very difficult to read.

pkitten2007, please be sure to post your homework and coursework problems in the appropriate Homework Help forum, and not in the general forums (and not in Tutorials). Please show us your work so far -- we do not provide answers here on the PF. But we are very willing to provide tutorial help if you show us your work so far.

Also, please do not post in exotic bold fonts -- they make the posts difficult to read and deal with.
 
What have you all ready tried doing to solve the problem?
 
You have to show your work :). If somebody sees that you've at least tried to attempt it, they will surely help you. I can too, but need show you've attempted it at least. :)
 
pkitten2007 said:
Ok i have a problem that i just can't solve.:frown:

It says: sam has collected fifty baseball cards. The Major league baseball cards are worth $3.50 and the minor leagure baseball cards are worth $2.00 each. sam`s collection is worth $122.50

Q: Write a system of equations that can be used to determine the number of each type of card sam has .


Can anybody help me solve this problem?
Assign variables for number of major league cards and number of minor league baseball cards. Now write the equations.
 
pkitten2007 said:
Ok i have a problem that i just can't solve.:frown:

It says: sam has collected fifty baseball cards. The Major league baseball cards are worth $3.50 and the minor leagure baseball cards are worth $2.00 each. sam`s collection is worth $122.50

Q: Write a system of equations that can be used to determine the number of each type of card sam has .


Can anybody help me solve this problem?
Uhm... i think I can give you some hints, so that you know where to start your problem.
If you call x to be the number of Major league baseball cards he has, and let y be his Minor league baseball ones.
So x + y = ? (what's the number of cards he has totally?)
How much are all his Major cards worth, if one costs $3.50 each?
How much are all his Minor cards worth, if one costs $2.00 each?
How much are all his cards worth in terms of x, and y?
Can you go from here? :)
 

Similar threads

Replies
6
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 22 ·
Replies
22
Views
4K
Replies
6
Views
4K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K