The question is missing some important details required to answer the question. I found a similar question, so I will answer using this details. If there is any differences in the details, you can still use my working by changing the value given:
Abdul will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $38 and costs an idditional $0.11 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.07 per mile driven.
How many miles would Abdul need to drive for the two plans to cost the same?
Answer:
275 miles
Step-by-step explanation:
Let the distance travel be X
First plan:
Initial fee: 38
Per mile: 0.11
So the total cost is
C1 = 38 + 0.11X
Second plan:
Initial fee: 49
Per mile:0.07
So the total cost is
C2 = 49 + 0.07X
Since the question asked about when the total cost be the same, we can say that C1 = C2
C1 = C2
38 + 0.11X = 49 + 0.07X
0.11X - 0.07X = 49 - 38
0.04X = 11
X = 11/0.04 = 275
At 275 miles, the cost will be the same.
