Question

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 1

Answer: 96 Televisions, 68 DVD burners

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