Respuesta :
The cost of each notebook is $ 2.3 and cost of each thumb drive is $ 4.85
Solution:
Let "a" be the cost of each notebook
Let "b" be the cost of each thumb drive
Given that,
6 notebooks and 4 thumb drives costs 33.2
Therefore,
6 notebook x cost of each notebook + 4 thumb drive x cost of each thumb drive = 33.2
[tex]6 \times a + 4 \times b = 33.2[/tex]
6a + 4b = 33.2 ----------- eqn 1
5 notebooks and 5 thumb drives costs 35.75
5 notebook x cost of each notebook + 5 thumbdrive x cost of each thumb drive = 35.75
[tex]5 \times a + 5 \times b = 35.75[/tex]
5a + 5b = 35.75 --------- eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 1 by 5
30a + 20b = 166 ----------- eqn 3
Multiply eqn 2 by 6
30a + 30b = 214.5 ---------- eqn 4
Subtract eqn 3 from eqn 4
30a + 30b = 214.5
30a + 20b = 166
( - ) -----------------
10b = 48.5
Divide both sides by 10
b = 4.85
Subtsitute b = 4.85 in eqn 1
6a + 4(4.85) = 33.2
6a + 19.4 = 33.2
6a = 13.8
Divide both sides by 6
a = 2.3
Thus cost of each notebook is $ 2.3 and cost of each thumb drive is $ 4.85
