SOLUTION: Kevin will spend at most $28 on gifts. So far, he has spent $16. Whats re the possible additional amount he will spend? Use (c) for the additional amount (in dollars) kevin wil

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Kevin will spend at most $28 on gifts. So far, he has spent $16. Whats re the possible additional amount he will spend? Use (c) for the additional amount (in dollars) kevin wil      Log On


   



Question 1164757: Kevin will spend at most $28 on gifts. So far, he has spent $16. Whats re the possible additional amount he will spend?
Use (c) for the additional amount (in dollars) kevin will spend
Write your answer as an inequality solved for c.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

16 = amount spent so far
c = additional amount to spend
16+c = total amount he will spend (previous + additional)

We want this total (16+c) to be 28 or smaller. So we want 16+c to be less than or equal to 28.

The inequality to solve is 16%2Bc+%3C=+28. To isolate c, we undo the addition happening to it. So we'll subtract 16 from both sides

16%2Bc+%3C=+28

16%2Bc-16+%3C=+28-16

c+%3C=+12

Therefore Kevin the additional amount Kevin can spend is at most $12. He can spend $12 or he can spend less than this amount.

Side note: your teacher may want you to restrict that c cannot be negative. So you may need to say 0+%3C=+c+%3C=+12. Of course, its best to ask your teacher to clarify.