Answer:
$204
Explanation:
Create a system of equations where p is the price of a pen and n is the cost of a notebook:
4n + 3p = 96
2n + 2p = 54
Solve by elimination by multiplying the bottom equation by -2:
4n + 3p = 96
-4n - 4p = -108
-p = -12
p = 12
So, a pen costs $12. Plug this in as p into one of the equations, and solve for n:
2n + 2p = 54
2n + 2(12) = 54
2n + 24 = 54
2n = 30
n = 15
So, a notebook costs $15.
Using this, find the price of 8 notebooks:
15(8)
= 120
Find the price of 7 pens:
12(7)
= 84
Add this together:
120 + 84
= 204
So, the price of 8 notebooks and 7 pens is $204