One cell phone plan costs $29.94 per month plus $.10 for MB of data. Another plan costs $32.99 per month
plus $.05 for each MB of data. For how many MBs of data will the monthly bill for be the same for both plans?
when is
10(MB) + 2994 = 5(MB) + 3299 ?
solve for MB, I changed everything to cents
has no effect on the solution for MB
35
To find the number of MBs of data for which the monthly bill will be the same for both plans, we can set up an equation.
Let's assume x represents the number of MBs of data.
For the first plan, the monthly cost is $29.94 + $0.10x.
For the second plan, the monthly cost is $32.99 + $0.05x.
To find when the monthly costs are equal, we can set up the following equation:
29.94 + 0.10x = 32.99 + 0.05x
To solve this equation, we can isolate the x term by subtracting 0.05x from both sides:
29.94 + 0.05x = 32.99
Subtracting 29.94 from both sides gives:
0.05x = 3.05
Dividing both sides by 0.05 gives:
x = 3.05 / 0.05
Therefore, the monthly bill will be the same for both plans when the number of MBs of data is 61.