Answer:
200 text messages
Step-by-step explanation:
Let x = number of text messages.
"$50 for unlimited calls and $0.25 per text message"
cost is 50 + 0.25x
"$0.15 per text message and$70 for unlimited calls"
cost is 70 + 0.15x
Set the costs equal and solve for x.
50 + 0.25x = 70 + 0.15x
Subtract 0.15x from both sides.
50 + 0.1x = 70
Subtract 50 from both sides.
0.1x = 20
Divide both sides by 0.1
x = 200
Answer: 200 text messages
Check: let x = 200
$50 for unlimited calls and $0.25 per text message"
cost is 50 + 0.25(200) = 50 + 50 = 100
The first plan costs $100 for 200 text messages.
"$0.15 per text message and$70 for unlimited calls"
cost is 70 + 0.15(200) = 70 + 30 = 100
The second plan also costs $100 for 200 text messages.
The answer 200 text messages is correct,
