Question

jada and zeke compare their monthly text message plans. jadas plan costs $5 plus an additional $0.05 per text. zekes plan costs $0.10 per text. the equations below show the cost, c, for each plan depending on how many texts, t, are sent.
jadas plan: $c = 0.05t+5$
zekes plan: $c = 0.10t$
in one month, jada and zeke paid the same amount.
enter the number of text messages they each sent.

Explanation:

Step1: Set costs equal

Since their costs are the same, set $0.05t + 5 = 0.10t$

Step2: Isolate t terms

Subtract $0.05t$ from both sides:
$5 = 0.10t - 0.05t$
$5 = 0.05t$

Step3: Solve for t

Divide both sides by 0.05:
$t = \frac{5}{0.05}$

Answer:

100