Difference between revisions of "2005 CEMC Gauss (Grade 7) Problems/Problem 9"
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| − | 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> | ||
Revision as of 14:58, 22 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 
.
