SOLUTION: last saturday she bought pants and shirts for her new video. each shirt costs $125 and each pants cost $225. she came out with 26 items and spent exactly $4950. how many pants and

Question 1104631: last saturday she bought pants and shirts for her new video. each shirt costs $125 and each pants cost $225. she came out with 26 items and spent exactly $4950. how many pants and shirts did Rihianna buy?
need system of equations
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

I hope the way you are being taught says that, before you can have a system of equations, you need some variables to use in those equations.

Making precise definitions of your variables is by far the most important part of setting up any problem.

In this problem, you are asked to find how many shirts and how many pants she bought -- so the obvious variables are those numbers. So

let x = number of shirts
let y = number of pants

With those definitions on your paper in front of you, it should be easy to write the system of equations you need.

(1) The total number of shirts and pants is 26:
(2) The total cost of the shirts (x of them, at $125 each) and pants (y of them, at $225 each) is $4950: (you get to write this equation....)

Then solve the pair of equations by your favorite method....
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

System of equations, as you requested S + P = 26 (1) (counting items) 125*S + 225*P = 4950 (2) (counting money)

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Usually, it is very easy work to write a system of equations for a given word problem.

For a wide variety of solved word problems on systems of 2 equations in 2 unknowns see the lessons
    - 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
    - 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

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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