Question

Lashonda bought a desktop computer and a laptop. Without finance charges, the laptop cost $350 more than the desktop. She paid for the computers with two different financing plans. The annual interest rate on the desktop computer was 6.5%, and on the laptop it was 9%. The annual finance charges were $388 total. How much did each computer cost without finance charges?

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Answer to a math question Lashonda bought a desktop computer and a laptop. Without finance charges, the laptop cost $350 more than the desktop. She paid for the computers with two different financing plans. The annual interest rate on the desktop computer was 6.5%, and on the laptop it was 9%. The annual finance charges were $388 total. How much did each computer cost without finance charges?

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Denotemos el costo de la computadora de escritorio sin cargos financieros como D y el costo de la computadora portátil como L. Según la información proporcionada: 1. La computadora portátil cuesta $350 más que la computadora de escritorio, por lo que L = D + 350. 2. La tasa de interés anual para la computadora de escritorio fue del 6,5% y para la computadora portátil, del 9%. Los cargos financieros anuales totales fueron $388: 0,065D + 0,09L = 388. Ahora, podemos sustituir la expresión de L de la primera ecuación en la segunda ecuación: 0,065D + 0,09(D + 350) = 388. Ahora resuelve para D: 0,065D + 0,09D + 31,5 = 388 0,155D + 31,5 = 388 0,155D = 356,5 D = 356,5/0,155 Ahora calcula el valor de D: D ≈ 2300. Entonces, el costo de la computadora de escritorio sin cargos financieros es de aproximadamente $2300. Ahora, usa este valor para encontrar el costo de la computadora portátil: L = D + 350 L = 2300 + 350 L = 2650. Por lo tanto, el costo de la computadora de escritorio sin cargos financieros es $2300 y el costo de la computadora portátil sin cargos financieros es $2650.

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