contestada

Three watches and five lamps cost $176 in all. Five watches and three lamps cost $208 in all. What is the cost of one lamp?

Respuesta :

$200/5 lamps= $40 per lamp

Final answer: $40

fichoh

Using the elimination principle, the cost of one lamp is $16

Let :

  • watches = a
  • Lamps = b

3a + 5b = 176 - - - - (1)

5a + 3b = 208 - - - (2)

Multiply (1) by 5 and (2) by 3

15a + 25b = 880 - - - - (3)

15a + 9b = 624 - - - - - (4)

Subtract (3) and (4)

16b = 256

b = (256 ÷ 16)

b = $16

Therefore, the cost of one lamp is $16

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