Difference between revisions of "2013 AMC 12A Problems/Problem 5"
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Add up the amounts that Tom, Dorothy, and Sammy paid to get $<math>405</math>, and divide by 3 to get $<math>135</math>, the amount that each should have paid. | Add up the amounts that Tom, Dorothy, and Sammy paid to get $<math>405</math>, and divide by 3 to get $<math>135</math>, the amount that each should have paid. | ||
− | ==Solution | + | ==Solution== |
Tom, having paid $<math>105</math>, owes Sammy $<math>30</math>, and Dorothy, having paid $<math>125</math>, owes Sammy $<math>10</math>. | Tom, having paid $<math>105</math>, owes Sammy $<math>30</math>, and Dorothy, having paid $<math>125</math>, owes Sammy $<math>10</math>. | ||
Thus, <math>t - d = 30 - 10 = 20</math>, which is <math>\boxed{\textbf{(B)}}</math> | Thus, <math>t - d = 30 - 10 = 20</math>, which is <math>\boxed{\textbf{(B)}}</math> |
Revision as of 11:41, 22 February 2013
Problem
Add up the amounts that Tom, Dorothy, and Sammy paid to get $, and divide by 3 to get $, the amount that each should have paid.
Solution
Tom, having paid $, owes Sammy $, and Dorothy, having paid $, owes Sammy $.
Thus, , which is