chad is trying to find a new cell phone plan chalk talk offers a plan for $62.70 each plus $1.20 for each megabyte of data used. ring-jingle cells offers of a plan for $63.70 per month plus $1.25 for each megabyte of data used chad wants to know how many megabytes of data he would have to use to make the cost of the two plans the same
create a system of equation to model the situation above and use it to determine if there is a viable solution
Let x represent the number of megabytes of data used.
For Chalk Talk:
Cost = $62.70 + $1.20x
For Ring-Jingle Cells:
Cost = $63.70 + $1.25x
Setting the costs equal to each other:
62.70 + 1.20x = 63.70 + 1.25x
Subtract 62.70 from both sides:
1.20x = 1.00 + 1.25x
Subtract 1.25x from both sides:
0.05x = 1.00
Divide by 0.05:
x = 20
Therefore, Chad would have to use 20 megabytes of data to make the cost of the two plans the same.