Difference between revisions of "2005 AMC 10A Problems/Problem 1"
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While eating out, Mike and Joe each tipped their server <math>2</math> dollars. Mike tipped <math>10\%</math> of his bill and Joe tipped <math>20\%</math> of his bill. What was the difference, in dollars between their bills? | While eating out, Mike and Joe each tipped their server <math>2</math> dollars. Mike tipped <math>10\%</math> of his bill and Joe tipped <math>20\%</math> of his bill. What was the difference, in dollars between their bills? | ||
| − | <math> \ | + | <math> \textbf{(A) } 2\qquad \textbf{(B) } 4\qquad \textbf{(C) } 5\qquad \textbf{(D) } 10\qquad \textbf{(E) } 20 </math> |
==Solution== | ==Solution== | ||
| Line 15: | Line 15: | ||
<math>j=10</math> | <math>j=10</math> | ||
| − | So the desired difference is <math>m-j=20-10=10 \Rightarrow D</math> | + | So the desired difference is <math>m-j=20-10=10 \Rightarrow \boxed{\textbf{(D) }10}</math> |
| − | |||
| + | ==Video Solution== | ||
CHECK OUT: Video Solution: | CHECK OUT: Video Solution: | ||
https://youtu.be/OT47ZnF5MPY | https://youtu.be/OT47ZnF5MPY | ||
| + | |||
| + | ==Video Solution 2== | ||
| + | https://youtu.be/mApPRP9v_XE | ||
| + | |||
| + | ~Charles3829 | ||
==See Also== | ==See Also== | ||
| Line 27: | Line 32: | ||
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
| − | |||
Latest revision as of 18:05, 25 December 2022
Problem
While eating out, Mike and Joe each tipped their server 
dollars. Mike tipped 
of his bill and Joe tipped 
of his bill. What was the difference, in dollars between their bills?
Solution
Let 
be Mike's bill and 
be Joe's bill.
So the desired difference is 
Video Solution
CHECK OUT: Video Solution: https://youtu.be/OT47ZnF5MPY
Video Solution 2
~Charles3829
See Also
| 2005 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by First Problem |
Followed by Problem 2 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
