Question

Danielle's text messaging plan costs $14 for the first 500 messages and 10¢ for each additional text message. If she owes $27.70 for text messaging in the month of September, how many text messages did she send that month?

Answer 1

27.7-14=Cost above 500 msg

13.7=C

E=number of Extra messages sent

C=0.1E

13.7/0.1=E

137=E

Total messages=T

T=500+E

T=500+137

T=637

Danielle sent 637 messages in September

Answer 2

Danielle sent 637 messages

Given

C = Cost above 500 messages

E = Number of extra messages sent

T = Total messages

Explanation

$C=27.7-14$

$C=13.7$

To find E

$C=0.1E$

$E=\frac{13.7}{0.1}$

$E=137$

$T=500+E$

   $=500+137$

$T=637$

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