6. the abc book club charges a $40 monthly fee, plus $2 per book read in that month. the easy book club…

6. the abc book club charges a $40 monthly fee, plus $2 per book read in that month. the easy book club charges a $35 monthly fee, plus $3 per book read in that month. for each club, how many books must be read in 1 month for the total charges from each club to be equal? f. 1 g. 4 h. 5 j. 6 k. 75

6. the abc book club charges a $40 monthly fee, plus $2 per book read in that month. the easy book club charges a $35 monthly fee, plus $3 per book read in that month. for each club, how many books must be read in 1 month for the total charges from each club to be equal? f. 1 g. 4 h. 5 j. 6 k. 75

Answer

Explicación:

Paso 1: Definir ecuaciones

Sea $x$ el número de libros leídos. El costo total del ABC Book Club es $C_{ABC}=40 + 2x$. El costo total del Easy Book Club es $C_{Easy}=35+3x$.

Paso 2: Igualar costos

Igualamos las dos ecuaciones: $40 + 2x=35 + 3x$.

Paso 3: Resolver para $x$

Restamos $2x$ de ambos lados: $40=35 + 3x-2x$. Esto se simplifica a $40=35 + x$. Luego restamos 35 de ambos lados: $x=40 - 35$. Entonces $x = 5$.

Respuesta:

H. 5