Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.



Answer to a math question Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.

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Solución: Sea x el número de litros de agua que se van a añadir. Por lo tanto, el volumen después de agregar agua es 9+x. La cantidad de alcohol se mantendría constante antes y añadiendo el agua. Por lo tanto, 0.5\izquierda(9\derecha)=0.3\izquierda(9+x\derecha) Resolviendo para x, 4,5=2,7+0,3x 0,3x=1,8 x=6 Respuesta: Se deben agregar 6 litros de agua para diluir una loción con 50% de alcohol hasta 30% de alcohol.

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