Difference between revisions of "2013 AMC 10A Problems/Problem 5"
Countingkg (talk | contribs) |
Countingkg (talk | contribs) |
||
| Line 8: | Line 8: | ||
==Solution== | ==Solution== | ||
| − | The total amount paid is <math>105 + 125 + 175 = 405</math>. To get how much each should have paid, we do <math>405/3 = 135</math> | + | The total amount paid is <math>105 + 125 + 175 = 405</math>. To get how much each should have paid, we do <math>405/3 = 135</math>. |
| − | Thus, we know that Tom needs to give Sammy 30 dollars, and Dorothy 10 dollars. This means that <math>t-d = 30 - 10 = 20</math>, <math>\textbf{(B)}</math> | + | Thus, we know that Tom needs to give Sammy 30 dollars, and Dorothy 10 dollars. This means that <math>t-d = 30 - 10 = 20</math>, <math>\textbf{(B)}</math>. |
Revision as of 19:45, 7 February 2013
Problem
Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid $105, Dorothy paid $125, and Sammy paid $175. In order to share costs equally, Tom gave Sammy 
dollars, and Dorothy gave Sammy 
dollars. What is 
?
Solution
The total amount paid is 
. To get how much each should have paid, we do 
.
Thus, we know that Tom needs to give Sammy 30 dollars, and Dorothy 10 dollars. This means that 
, 
.
