Difference between revisions of "2013 AMC 12A Problems/Problem 5"

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==Problem==
 
Add up the amounts that Tom, Dorothy, and Sammy paid to get &#036;<math>405</math>, and divide by 3 to get &#036;<math>135</math>, the amount that each should have paid.
 
Add up the amounts that Tom, Dorothy, and Sammy paid to get &#036;<math>405</math>, and divide by 3 to get &#036;<math>135</math>, the amount that each should have paid.
  
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==Solution
 
Tom, having paid &#036;<math>105</math>, owes Sammy &#036;<math>30</math>, and Dorothy, having paid &#036;<math>125</math>, owes Sammy &#036;<math>10</math>.
 
Tom, having paid &#036;<math>105</math>, owes Sammy &#036;<math>30</math>, and Dorothy, having paid &#036;<math>125</math>, owes Sammy &#036;<math>10</math>.
  
Thus, <math>t - d = 30 - 10 = 20</math>, which is B
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Thus, <math>t - d = 30 - 10 = 20</math>, which is <math>\boxed{\textbf{(B)}}</math>

Revision as of 12:40, 22 February 2013

Problem

Add up the amounts that Tom, Dorothy, and Sammy paid to get $$405$, and divide by 3 to get $$135$, the amount that each should have paid.

==Solution Tom, having paid $$105$, owes Sammy $$30$, and Dorothy, having paid $$125$, owes Sammy $$10$.

Thus, $t - d = 30 - 10 = 20$, which is $\boxed{\textbf{(B)}}$

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