Art of Problem Solving

2010 AMC 10B Problems/Problem 1: Difference between revisions

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== Problem ==
== Problem ==
1. What is <math>100(100-3)-(100\cdot100-3)</math>?
What is <math>100(100-3)-(100\cdot100-3)</math>?


<math>
<math>
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== Solution ==
== Solution ==
We first expand the first term, simplify, and then compute to get an answer of <math>\boxed{\mathrm {(C)} -297}</math>.
We first expand the first term, simplify, and then compute to get an answer of <math>\boxed{\mathrm {(C)} -297}</math>.
==See Also==
{{AMC10 box|year=2010|ab=B|before=First Problem|num-a=2}}

Revision as of 23:47, 25 November 2011

Problem

What is $100(100-3)-(100\cdot100-3)$?

$\mathrm{(A)}\ -20,000 \qquad \mathrm{(B)}\ -10,000 \qquad \mathrm{(C)}\ -297 \qquad \mathrm{(D)}\ -6 \qquad \mathrm{(E)}\ 0$

Solution

We first expand the first term, simplify, and then compute to get an answer of $\boxed{\mathrm {(C)} -297}$.

See Also

2010 AMC 10B (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