Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. Company B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte. For what number of additional gigabytes would the two companies charge the same amount?

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abdulmajeedabiodunac abdulmajeedabiodunac · Answer 1 · 2022-08-31T15:43:00+02:00

The number of additional gigabytes would the two companies charge the same amount is 6

What represents the gigabytes beyond 3 gigabytes?

The number of gigabytes beyond 3 can be represented as X-3,in other words, X is the total gigabytes

Company A:

TC=20.40+(X-3)*9.80

TC=20.40+9.80X-29.40

Company B:

TC=18.60+(X-3)*10.10

TC=18.60+10.10X-30.30

At the point where additional gigabytes are the same, the companies charge the same amount

20.40+9.80X-29.40=18.60+10.10X-30.30

20.40-29.40-18.60+30.30=10.10x-9.80x

2.70=0.30X

X=2.70/0.30

X=9(total gigabytes)

additional gigabytes=X-3

additional gigabytes=9-3

additional gigabytes=6

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