Horizon Phone Company charges $16 a month plus 5 cents per text. G-Mobile charges $21 per month with 2 cents per text. At how many texts would the two plans cost the same?

Answer:167 text messages

Step-by-step explanation:

Let x represent the number of text messages sent when either Horizon Phone Company or G-Mobile is used.

Let y represent the total cost of sending x messages using Horizon Phone Company.

Let z represent the total cost of sending x messages using G-Mobile.

Horizon Phone Company charges $16 a month plus 5 cents ($0.05) per text. This means that

y = 16 + 0.05x

G-Mobile charges $21 per month with 2 cents (0.02) per text. This means that

z = 21 + 0.02x

To determine the number of texts that texts would be sent for the two plans cost the same, we would equate y to z. It becomes

16 + 0.05x = 21 + 0.02x

0.05x - 0.02x = 21 - 16

0.03x = 5

x = 5/0.03 = 167

166.67

Step-by-step explanation:

0.05x + 16 = 0.02x + 21

0.03x = 5

166.67 = x