SOLUTION: The cost of 5 boxes of envelopes and 5 boxes of note paper is $ 25.95. Two boxes of envelopes and 6 boxes of note paper cost $ 22.38. Find the cost of each box of envelopes and eac

Algebra ->  Equations -> SOLUTION: The cost of 5 boxes of envelopes and 5 boxes of note paper is $ 25.95. Two boxes of envelopes and 6 boxes of note paper cost $ 22.38. Find the cost of each box of envelopes and eac      Log On


   

Question 360114: The cost of 5 boxes of envelopes and 5 boxes of note paper is $ 25.95. Two boxes of envelopes and 6 boxes of note paper cost $ 22.38. Find the cost of each box of envelopes and each box of note paper.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

let x represent the cost a box of envelopes and y the cost of a box of note paper. 

5x + 5y = 25.95

5(x+y) = 25.95  

x + y = 5.19

y= (5.19-x)

write as we read***

2x + 6(5.19-x)= 22.38

2x -6x + 31.14 = 22.38

31.14 - 22.38 = 4x

8.76 = 4x

$2.19 = x cost of a box of envelopes

(5.19 - 2.19 ) = $3.00 the cost of a box of note paper. 



checking our answer

$4.38 + 6*$3.00 = $4.38 + $18.00 = $22.38