Difference between revisions of "2019 AMC 10A Problems/Problem 10"
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==Solution== | ==Solution== | ||
| + | Because this is a <math>10</math> by <math>17</math> grid, the number of tiles that the bug visits is <math>10+17-1=26</math>. The answer is <math>B</math> | ||
| + | |||
| + | Note: You will find that the general formula for this is <math>a+b-lcm(a,b)</math> | ||
==See Also== | ==See Also== | ||
Revision as of 17:29, 9 February 2019
Problem
A rectangular floor that is 
feet wide and 
feet long is tiled with 
one-foot square tiles. A bug walks from one corner to the opposite corner in a straight line. Including the first and the last tile, how many tiles does the bug visit?
Solution
Because this is a by grid, the number of tiles that the bug visits is 
. The answer is 
Note: You will find that the general formula for this is 
See Also
| 2019 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 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, as part of the American Mathematics Competitions. 
