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Answers ‹ 233
419. (B), (C), (E) Let n = the number of clients Ciara signs up. Then Ciara’s monthly 
earnings, m, can be expressed as m n n n$5 $2( 100) $7 $200= + − = − . Eliminate (A) because 
Ciara always signs up at least 100 clients. Thus, her monthly earnings cannot be less than 
$7(100) $200− = $500 (B). Omitting units and solving the equation m n$7 $200= − for 
n yields n = m 200
7
+ . Because n is a whole number, m 200+ must be divisible by 7. Select 
(C) because 640 200 840+ = is divisible by 7. Eliminate (D) because + =800 200 1,000 is 
not divisible by 7. Select (E) because + =850 200 1,050 is divisible by 7.
420. (A), (B) x2 3 7.5+

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