SOLUTION: you are in charge of decorating for your friend's party. you purchase 10 bags of balloons and 4 packs of plates for a total cost of $34.50. at the last minute you find out more peo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: you are in charge of decorating for your friend's party. you purchase 10 bags of balloons and 4 packs of plates for a total cost of $34.50. at the last minute you find out more peo      Log On


   



Question 1151043: you are in charge of decorating for your friend's party. you purchase 10 bags of balloons and 4 packs of plates for a total cost of $34.50. at the last minute you find out more people are attending, so you need to get one more pack of balloons and three more packs of plates. you spend $11.25 on the second trip to the store. how much does each pack of balloons and plates cost?
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let "b" be the cost of one pack pf balloons and

let "p" be the cost of one pack pf plates.


Then from the condition, you have the system of these two linear equations


    10b + 4p = 34.50      (1)

      b + 3p = 11.25      (2)


Solve it by any method you know (you love or you prefer).


For example, you may express "b" from equation (2) and substitute it into equation (1), using SUBSTITUTION.

Happy solving (!)

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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".


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Free of charge online textbook in ALGEBRA-I
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to your archive and use it when it is needed.