Question

A cell phone plan in 2005 costs $30 per month for unlimited calling plus 0.02 per text. Another plan cost 24 per month for unlimited calling but only 0.05 per text. How many texts would Jordan have to send for his monthly bill to be the same for each plan?

Answer 1

200 Texts

Explanation:

30+0.02x=24+0.05x

We move all terms to the left:

30+0.02x-(24+0.05x)=0

We add all the numbers together, and all the variables

0.02x-(0.05x+24)+30=0

We get rid of parentheses

0.02x-0.05x-24+30=0

We add all the numbers together, and all the variables

-0.03x+6=0

We move all terms containing x to the left, all other terms to the right

-0.03x=-6

x=-6/-0.03

x=200