A store sells televisions for $360 and DVD burners for $270. The entire stock is worth $52,920 and there are a total of 164 televisions and DVD burners combined. How many of each on are there?

Answer: 96 Televisions, 68 DVD burners

Step-by-step explanation:

Let T represent the quantity of televisions

Let D represent the quantity of DVD burners

Given:

value of television (T) = 360

value of DVD burners (D) = 270

Total value = 52,920

Equations:

Value: 360T + 270D = 52,920

Quantity: T + D = 164

We can solve the system of equations using the Elimination Method:

-1 (360T + 270D = 52,920) → - 360T - 270D = - 52,920

360 (T + D = 164) → 360T + 360D = 59,040

90D = 6,120

:90 : 90

D = 68

Input the value of D into one of the equations to solve for T

T + D = 164

T + 68 = 164

T = 96