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Drupady [299]
3 years ago
11

A solar-panel company counted 69 invoices at the end of the month. They charge $400 for a new installation and $25 fora service

call. The total dollar amount of the invoices was $6,975. How many service calls were made?
Mathematics
1 answer:
stepladder [879]3 years ago
7 0

Answer:

The number of service calls made = 55

Step-by-step explanation:

Let the total number of installations made by the company = x

Let the total number of service calls = y

Total number of invoices for the month = 69

=> \[x+y=69\]  -------------------(1)

Total amount of the invoices = $6975

=> \[400x+25y=6975\]  -----------(2)

From (1), \[y=69-x\]

Substituting in (2):

=> \[400x+25*(69-x)=6975\]

=> \[400x+1725-25x=6975\]

=> \[375x=5250\]

=> \[x=14\]

\[y=69-x\]

=> \[y=55\]

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