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There is a $1,800 difference between the prices of two items. If the prices are in the ratio 3:4, what are the prices of the items?

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Answer to a math question There is a $1,800 difference between the prices of two items. If the prices are in the ratio 3:4, what are the prices of the items?

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Rasheed
4.7
109 Answers
Dado que los precios de los artículos están en la razón 3:4, establecemos una ecuación para representar esta relación: \frac{x}{y} = \frac{3}{4}. Reescribimos esta ecuación como y = \frac{4}{3}x y la sustituimos en la expresión de la diferencia de los precios y - x = 1800. Esto produce \frac{4}{3}x - x = 1800, que simplificamos a \frac{1}{3}x = 1800. Al despejar para x, encontramos x = 5400. Luego sustituimos este valor en la ecuación para y para descubrir que y = 7200. Así, los precios de los dos artículos son 5400 y 7200.

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