Question

an electronics warehouse ships televisions and DVD players in certain combinations to retailers throughout the country. The weight of 4 Televisions and 6 DVD players is 70 pounds, and the weight of 2 televisions and 5 DVD players is 37 pounds. Let represent the amount of pounds per TV and represent the amount of pounds per DVD. How much did each television and DVD player weigh?

Answer 1

d = 1

t = 16

Explanation:

Television = t

DVD = d

4t + 6d = 70

2t + 5d = 37

2t + 5d = 37

2t = 37 - 5d

2t/2 = 37/2 - 5d/2

t = 18.5 - 5/2d

4t + 6d = 70

4(18.5 - 5/2d) + 6d = 70

74 - 10d + 6d = 70

-4d = -74 + 70

-4d = -4

-4d/-4 = -4/-4

d = 1

2t + 5d = 37

2t + 5(1) = 37

2t + 5 = 37

2t = 37 - 5

2t = 32

2t/2 = 32/2

t = 16

Check: d = 1; t = 16

4t + 6d = 70

4(16) + 6(1) = 70

64 + 6 = 70

70 = 70

2t + 5d = 37

2(16) + 5(1) = 37

32 + 5 = 37

37 = 37