Difference between revisions of "2005 CEMC Gauss (Grade 7) Problems/Problem 9"
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== Problem == | == Problem == | ||
| − | A movie theatre has eleven rows of seats. The rows are numbered from 1 to 11. Odd-numbered rows have 15 seats and even-numbered rows have 16 seats. How many seats are there in the theatre? | + | A movie theatre has eleven rows of seats. The rows are numbered from <math>1</math> to <math>11</math>. Odd-numbered rows have <math>15</math> seats and even-numbered rows have <math>16</math> seats. How many seats are there in the theatre? |
<math>\text{(A)}\ 176 \qquad \text{(B)}\ 186 \qquad \text{(C)}\ 165 \qquad \text{(D)}\ 170 \qquad \text{(E)}\ 171</math> | <math>\text{(A)}\ 176 \qquad \text{(B)}\ 186 \qquad \text{(C)}\ 165 \qquad \text{(D)}\ 170 \qquad \text{(E)}\ 171</math> | ||
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==See Also== | ==See Also== | ||
| − | + | {{CEMC box|year=2005|competition=Gauss (Grade 7)|num-b=8|num-a=10}} | |
Latest revision as of 00:34, 23 October 2014
Problem
A movie theatre has eleven rows of seats. The rows are numbered from 
to 
. Odd-numbered rows have 
seats and even-numbered rows have 
seats. How many seats are there in the theatre?
Solution
There are six odd-numbered rows (rows 
).
These rows have 
seats in total.
There are five even-numbered rows (rows 
).
These rows have 
seats in total.
Therefore, there are 
seats in total in the theatre. The answer is 
.
See Also
| 2005 CEMC Gauss (Grade 7) (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 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 | ||
| CEMC Gauss (Grade 7) | ||
