Answer: 500 messages will the costs for the two plans be the same.
Step-by-step explanation:
Let x= Number of text messages .
Given: One plan has a monthly fee of $15 with a charge of $0.05 per text.
i.e. Total cost of plan = 15+0.05x
The other plan has a monthly fee of $5 with $0.07 per text.
i.e. Total cost of plan = 5+0.07x
As per given ,
[tex]5+0.07x=15+0.05x\\\\\Rightarrow\ 0.07x-0.05x=15-5\\\\\Rightarrow\ 0.02x=10\\\\\Rightarrow\ x=\dfrac{10}{0.02}\\\\\Rightarrow\ x= \dfrac{1000}{2}\\\\\Rightarrow\ x=500[/tex]
Hence, 500 messages will the costs for the two plans be the same.
