Art of Problem Solving

2005 AMC 10A Problems/Problem 1: Difference between revisions

Line 15: Line 15:
<math>j=10</math>
<math>j=10</math>


So the desired difference is <math>m-j=20-10=10 \Rightarrow \box{D}</math>
So the desired difference is <math>m-j=20-10=10 \Rightarrow \boxed{D}</math>


==Video Solution==
==Video Solution==

Revision as of 21:20, 20 January 2021

Problem

While eating out, Mike and Joe each tipped their server $2$ dollars. Mike tipped $10\%$ of his bill and Joe tipped $20\%$ of his bill. What was the difference, in dollars between their bills?

$\mathrm{(A) \ } 2\qquad \mathrm{(B) \ } 4\qquad \mathrm{(C) \ } 5\qquad \mathrm{(D) \ } 10\qquad \mathrm{(E) \ } 20$

Solution

Let $m$ be Mike's bill and $j$ be Joe's bill.

$\frac{10}{100}m=2$

$m=20$

$\frac{20}{100}j=2$

$j=10$

So the desired difference is $m-j=20-10=10 \Rightarrow \boxed{D}$

Video Solution

CHECK OUT: Video Solution: https://youtu.be/OT47ZnF5MPY

See Also

2005 AMC 10A (ProblemsAnswer KeyResources)
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

These problems are copyrighted © by the Mathematical Association of America.

https://youtu.be/OT47ZnF5MPY