The cost of a box of envelopes and the notebook paper is $2.41 and $1.27
This question is a word problem leading simultaneous equation
The cost of boxes of an envelope be "x
Let the cost of a notebook be "y"
If the cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25, hence;
3x + 4y = 13.45 ...... 1
Similarly, if two boxes of envelopes and 6 boxes of notebook paper cost $17
2x + 6y = 17 ........... 2
Solving simultaneously;
3x + 4y = 13.45 ...... 1 * 2
2x + 6y = 17 ........... 2 * 3
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6x + 8y = 26.90
6x +18y = 51
Subtract both equation
8y - 18y = -24.1
-10y = -24.1
y = 2.41
Recall that 2x + 6y = 17
2x + 6(2.41) = 17
2x + 14.46 = 17
2x = 17 - 14.46
2x = 2.54
x = 1.27
Hence the cost of a box of envelopes and the notebook paper is $2.41 and $1.27
Learn more on simultaneous equations here: https://brainly.com/question/15165519
