Question

7. The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25. Two boxes of envelopes and 6 boxes of notebook paper cost $17. Find the cost of each. X - envelde​

Answer 1

Envelopes: $1.15

Notebooks: $2.45

Explanation:

Envelopes: x

Notebooks: y

3x+4y=13.25 and 2x+6y=17

I will use the elimination method

2(3x+4y=13.25) = 6x+8y=26.50

-3(2x+6y=17) = -6x-18y= -51

(6x+8y=26.50) + (-6x-18y= -51)

= -10y = - 24.50

y = 2.45

6x + 8(2.45) = 26.50

6x + 19.6 = 26.50

6x = 26.50 - 19.6

x = 6.90/6

x = 1.15