for how many movies is the cost of the plans the same?
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Answer:
For 36 movies the cost of both the plans is same.
Step-by-step explanation:
Let us assume foe m movies, both the plans cost same.
Now, PLAN A:
Annual Fee = $45
Cost per movie = $2.50
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($2.50) = 2.5 m
So, the total cost of Plan A = Annual Fee + Cost of m moves
= 45 + 2.50 m
PLAN B:
Cost per movie = $3.75
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($3.75) = 3.75 m
ACCORDING TO QUESTION:
for m movies, Cost of plan A = Cost of plan B
⇒45 + 2.50 m = 3.75 m
or, 3.75 m - 2.5 m = 45
or, m = 45/1.25 = 36
or, m = 36
Hence, for 36 movies the cost of both the plans is same.