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There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold twice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?

Explanation	Calculations	Help
$We first define clear variables for each agent to avoid ambiguity.$	$A = number of properties Andy sold E = number of properties Ellen sold B = number of properties Bob sold C = number of properties Cary sold D = number of properties Dora sold$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Andy sold twice as many properties as Ellen" into an equation.$	$A = 2 E$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Bob sold 3 more than Ellen" into an equation.$	$B = E + 3$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "Cary sold twice as many as Bob" into an equation.$	$C = 2 B$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Dora sold as many as Bob and Ellen together" into an equation.$	$D = B + E$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We express each variable in terms of E by substituting previous equations.$	$A = 2 E B = E + 3 C = 2 (E + 3) = 2 E + 6 D = (E + 3) + E = 2 E + 3$
$We compare the expressions to see which is largest.$	$2 E + 6 > 2 E 2 E + 6 > 2 E + 3 2 E + 6 > E + 3$

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Cary

There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold twice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?

Explanation	Calculations	Help
$We first define clear variables for each agent to avoid ambiguity.$	$A = number of properties Andy sold E = number of properties Ellen sold B = number of properties Bob sold C = number of properties Cary sold D = number of properties Dora sold$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "Andy sold twice as many properties as Ellen" into an equation.$	$A = 2 E$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Bob sold 3 more than Ellen" into an equation.$	$B = E + 3$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We translate "Cary sold twice as many as Bob" into an equation.$	$C = 2 B$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-E Click to view full details
$We translate "Dora sold as many as Bob and Ellen together" into an equation.$	$D = B + E$	Theory & Tactics Method Card TRANS1-B Click to view full details Theory & Tactics Method Card TRANS1-C Click to view full details
$We express each variable in terms of E by substituting previous equations.$	$A = 2 E B = E + 3 C = 2 (E + 3) = 2 E + 6 D = (E + 3) + E = 2 E + 3$
$We compare the expressions to see which is largest.$	$2 E + 6 > 2 E 2 E + 6 > 2 E + 3 2 E + 6 > E + 3$

Scroll horizontally to view all columns

Cary