Question

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?

Answer 1

Plan 1 = 29.94 + 0.10x
Plan 2 = 32.99 + 0.05x

Plan 1 = Plan 2
29.94 + 0.10x = 32.99 + 0.05x
0.10x - 0.05x = 32.99 - 29.94
0.05x = 3.05
0.05x/0.05 = 3.05/0.05
x = 61

61 MB of data is needed to make both plan equal.

to check: x = 61

29.94 + 0.10(61) = 32.99 + 0.05(61)
29.94 + 6.10 = 32.99 + 3.05
36.04 = 36.04