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Question
a charitable organization in lowell is hosting a black tie benefit for charity, and the organization’s members hope to bring in at least $4,900. standard tickets are available for $23 each, whereas vip tickets are offered for $43 apiece.
write the inequality in standard form that describes this situation. use the given numbers and the following variables.
x = the number of standard tickets
y = the number of vip tickets
Step1: Definir ingresos totales
Los ingresos de boletos estándar son \( 23x \) (ya que cada uno cuesta \$23 y hay LXI1 boletos). Los ingresos de boletos VIP son LXI2 (cada uno cuesta \$43 y hay \( y \) boletos).
Step2: Establecer la desigualdad
La organización quiere recaudar al menos \$4,900, lo que significa que los ingresos totales deben ser mayores o iguales a 4900. Entonces, la desigualdad es \( 23x + 43y \geq 4900 \).
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\( 23x + 43y \geq 4900 \)