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Dmitry_Shevchenko [17]
3 years ago
13

Luis, que recibe $200 mensuales desde hace un año, el mes pasado le dijo a su papá que le aumentará su mesada; el monto deseado

será suficiente si tres medios de la cantidad deseada más 4100 son mayores o iguales a $700. ¿Cuánto de más quiere recibir Luis?
Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

Luis quiere recibir 200$ de más por mes.

Step-by-step explanation:

Para podr calcular esto, necesitamos escribir la desigualdad dada, y para ello debemos transformar el lenguaje a lenguaje algebraico.

tres medios de la cantidad deseada:  3/2 x

mas 4100 (en este caso debería ser $100, y fue un error de tipeo): + 100

son mayor o igual a $700:  ≥ 700

Inecuación: 3/2 x + 100 ≥ 700

Ahora solo nos queda resolver el valor de x de esta inecuación. El resultado nos dirá cuanto quiere recibir al mes, por lo que la resta de esta cantidad con la cantidad que recibía antes nos dirá cuanto de más desea recibir:

3/2 x + 100 ≥ 700

3/2 x ≥ 700 - 100

3/2 x ≥ 600

3x ≥ 600 * 2

x ≥ 1200 / 3

x ≥ 400

Por tanto, Luis desea recibir al mes $400, lo que se traduce en que quiere recibir de más

400 - 200 = 200

Luis desea recibir de mas $200.

Espero te ayude

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