
Concept explainers
To find: The number of girls and boys voted for the theme.

Answer to Problem 46STP
380 boys and 325 girls (option C).
Explanation of Solution
Given information:
For the topic "A Night under the Stars" girls voted 40% and 60% for " The Time of My life". Whereas, for "The Time of My life" boys voted 75% and 25% for " A Night under the Stars".The total number of votes received for the topic "A Night under the Stars" is 225 and 480 votes for "The Time of My Life".
Calculation:
The following equation represents the case:
Represent equation in matrix form:
The solution is given by the following formula:
First, determinant of coefficient matrix is calculated below.
Second, inverse of the coefficient matrix is calculated below:
Substitute value of
Hence, 380 boys and 325 girls voted. Hence the answer is C.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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