14. mr. johnson is planning a movie night for his students. he wants to buy large bags of popcorn, and each…

14. mr. johnson is planning a movie night for his students. he wants to buy large bags of popcorn, and each bag costs $8. he also needs to rent a projector for $20. mr. johnson has at most $100 to spend. how many large bags of popcorn can mr. johnson buy? write an inequality for this situation and then solve it. let x = number of bags. use the ( ) button to enter your answer in the box below as an inequality, ex: x > 2 answer: bags

14. mr. johnson is planning a movie night for his students. he wants to buy large bags of popcorn, and each bag costs $8. he also needs to rent a projector for $20. mr. johnson has at most $100 to spend. how many large bags of popcorn can mr. johnson buy? write an inequality for this situation and then solve it. let x = number of bags. use the ( ) button to enter your answer in the box below as an inequality, ex: x > 2 answer: bags

Answer

Explicación:

Paso 1: Establecer la desigualdad

El costo del alquiler del proyector es de $20 y el costo de cada bolsa de palomitas es de $8. Mr. Johnson tiene como máximo $100 para gastar. Entonces, la desigualdad es $20 + 8x\leq100$, donde $x$ es el número de bolsas de palomitas.

Paso 2: Resolver la desigualdad para $x$

Restar 20 de ambos lados: $8x\leq100 - 20$, es decir $8x\leq80$. Luego dividir ambos lados por 8: $x\leq\frac{80}{8}$, entonces $x\leq10$.

Respuesta:

$x\leq10$