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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

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110 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

, encontramos

x = 5400

. Luego sustituimos este valor en la ecuación para

para descubrir que

y = 7200

. Así, los precios de los dos artículos son

5400

7200

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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?

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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