For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominationstravelers checks in all, how many of each denomination does she have?Let x represent the number of $10 traveler's checks she has ⍟ Which expression represents the value of the $20traveler's checks she has? ⍟A. 20xB. 20(22)C. 20(22 - x)

Option CThe expression 20(22 - x) represents the value of the $20  traveler's checks she has.Solution:Given, For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations travelers checks in all,  We have to find how many of each denomination does she have? Let x represent the number of $10 traveler's checks she has, Then, $10(x) + $20(number of $20 checks) = 300 10x + 20($20 checks) = 300 x + 2(number of $20 checks) = 30 ⇒ (1) Now let us see the given options, for value of $20 checks, It should be in format, that, $20 x number of $20 checks   ⇒ 20(total checks - $10 checks) ⇒ 20(total checks – x), as we can see only C is in that format, it is correct and total number of checks = 22. Then, (1) ⇒ x + 2(22 – x) = 30 ⇒ x + 44 – 2x = 30 ⇒2x – x = 44 – 30 ⇒ x = 14 So, $10 checks count = 14, then, $20 checks count = 22 – 14 = 8. Hence, there are 14 $10 checks and 8 $20 checks, and option c is correct.