13.) Springfield Elementary is putting on a school play
1 answer:
45 adult tickets and 80 children tickets were sold
<em><u>Solution:</u></em>
Let "a" be the number of adult tickets sold
Let "c" be the number of children tickets sold
Cost of 1 adult ticket = $ 6
Cost of 1 children ticket = $ 3.50
<em><u>They sold a total of 125 tickets</u></em>
Therefore,
a + c = 125
c = 125 - a --------- eqn 1
<em><u>They made a total of $550. Therefore, frame a equation as:</u></em>
number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = 550
6a + 3.50c = 550 ----------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
6a + 3.50(125 - a) = 550
6a + 437.5 - 3.50a = 550
2.5a = 112.5
<h3>a = 45</h3><em><u>Substitute a = 45 in eqn 1</u></em>
c = 125 - 45
<h3>c = 80</h3>Thus 45 adult tickets and 80 children tickets were sold
You might be interested in
Hope this is what you where looking for
ANSWER
The correct answer is .
<u>EXPLANATION</u>
We were given the matrix equation;
.
We must first simplify the Left Hand Side of the equation by adding corresponding entries.
.
That is;
.
Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.
This implies that;
We got this equation from row one-column one entry of both matrices.
Also, the row three-column three entries of both matrices will give us the equation;
Hence the correct answer is .
The correct option is option 2