SOLUTION: System of Equations with 2 Variables You receive a $500 gift card to a clothing store. The store sells pants for $12 and sweaters for $21. You buy a total of 38 items and have t

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: System of Equations with 2 Variables You receive a $500 gift card to a clothing store. The store sells pants for $12 and sweaters for $21. You buy a total of 38 items and have t      Log On


   

Question 1132925: System of Equations with 2 Variables
You receive a $500 gift card to a clothing store. The store sells pants for $12 and sweaters for $21. You buy a total of 38 items and have to pay $10 of your own money beyond the gift card. How many pants and sweaters did you buy?
I missed a lot of math due to ill health and I have no clue where to start. Thank you for your help.
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
In this site, there is a group of lessons on solving word problems using systems of 2 equations in 2 unknown.

These lessons are

    - Solution of the linear system of two equations in two unknowns by the Substitution method
    - Solution of the linear system of two equations in two unknowns by the Elimination method
    - Solution of the linear system of two equations in two unknowns using determinant
    - Geometric interpretation of the linear system of two equations in two unknowns
    - Useful tricks when solving systems of 2 equations in 2 unknowns by the Substitution method
    - Solving word problems using linear systems of two equations in two unknowns

    - Oranges and grapefruits
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
    - Using systems of equations to solve problems on shares
    - Using systems of equations to solve problems on investment
    - Two mechanics work on a car
    - The Robinson family and the Sanders family each used their sprinklers last summer
    - Roses and vilolets
    - Counting calories and grams of fat in combined food
    - A theater group made appearances in two cities
    - HOW TO algebreze and solve this problem on 2 equations in 2 unknowns
    - One unusual problem to solve using system of two equations
    - Solving mentally word problems on two equations in two unknowns

    - OVERVIEW of lessons on solving systems of two linear equations in two unknowns

Why don't you start reading these lessons ?


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


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Regarding YOUR problem, the system of equations is


     x +   y =  38        (counting items: x are pants, y are sweaters)
   12x + 21y = 510        (counting dollars)


It is where to start.


Then you can solve it by the Substitution method or by the Elimination method.


Tell me if you need further assistance with this problem.



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comment from student :  Thank you so much for your help.  I think I got it right with  x= 32  and  y= 6.
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My response :   You are right - your answer is correct - my congratulations ! !

REMEMBER :   You  ALWAYS  can check your answer on your own by substituting the found values into your original equations !