Question

5. Company “A” charges $80 a month for

their cell phone plan and $5 for a 100MB
of Data. Company “B” charges $60 a
month for their cell phone plan and $10 for
a 100MB of Data. How many mega bytes
of data used would make the cost from
either company equal?

Answer 1

400 megabytes of data used will make the cost from either company equal.

Explanation:

Given that:

Per month charges of Company A = $80

Charges of 100 MB = $5 =
`(5)/(100)=\$0.05\ per\ MB`

Let,

x be the number of MBs consumed.

y be the total charges.

y = 0.05x+80

Per month charges of Company B = $60

Charges of 100 MB = $10 = $0.1 per MB

y = 0.1x+60

For equal charges;

0.05x+80 = 0.1x + 60

80-60 = 0.1x-0.05x

20 = 0.05x

`(0.05x)/(0.05)=(20)/(0.05)\\x=400`

Hence,

400 megabytes of data used will make the cost from either company equal.