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

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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)   (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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If you need help in solving word problem using systems of equations, read my lessons in this site

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    - Three methods for solving standard (typical) problems on tickets
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    - OVERVIEW of lessons on solving systems of two linear equations in two unknowns


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
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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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