Difference between revisions of "2011 AMC 8 Problems/Problem 11"
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==Problem== | ==Problem== | ||
The graph shows the number of minutes studied by both Asha (black bar) and Sasha (grey bar) in one week. On the average, how many more minutes per day did Sasha study than Asha? | The graph shows the number of minutes studied by both Asha (black bar) and Sasha (grey bar) in one week. On the average, how many more minutes per day did Sasha study than Asha? | ||
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<asy> | <asy> | ||
size(300); | size(300); | ||
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==Solution== | ==Solution== | ||
Average the differences between each day. We get <math>10, -10,\text{ } 20,\text{ } 30,-20</math>. We find the average of this list to get <math>\boxed{\textbf{(A)}\ 6}</math> | Average the differences between each day. We get <math>10, -10,\text{ } 20,\text{ } 30,-20</math>. We find the average of this list to get <math>\boxed{\textbf{(A)}\ 6}</math> | ||
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+ | ==Solution 2== | ||
+ | This solution may take longer to do than the first solution. In total, Asha studied for 400 minutes a week (80 minutes per day) and Sasha studied for 430 minutes a week (86 minutes per day). 86 - 80 = 6. Therefore, the answer is <math>\boxed{\textbf{(A)}\ 6}</math>. | ||
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+ | -MiracleMaths | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2011|num-b=10|num-a=12}} | {{AMC8 box|year=2011|num-b=10|num-a=12}} | ||
+ | {{MAA Notice}} |
Latest revision as of 20:25, 21 December 2021
Contents
Problem
The graph shows the number of minutes studied by both Asha (black bar) and Sasha (grey bar) in one week. On the average, how many more minutes per day did Sasha study than Asha?
Solution
Average the differences between each day. We get . We find the average of this list to get
Solution 2
This solution may take longer to do than the first solution. In total, Asha studied for 400 minutes a week (80 minutes per day) and Sasha studied for 430 minutes a week (86 minutes per day). 86 - 80 = 6. Therefore, the answer is .
-MiracleMaths
See Also
2011 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
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 AJHSME/AMC 8 Problems and Solutions |
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