Difference between revisions of "2013 AMC 10A Problems/Problem 5"
Countingkg (talk | contribs) |
Countingkg (talk | contribs) |
||
Line 11: | Line 11: | ||
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>. | ||
+ | |||
+ | ==See Also== | ||
+ | |||
+ | {{AMC10 box|year=2013|ab=A|num-b=4|num-a=6}} |
Revision as of 20:54, 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 , .
See Also
2013 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |