Tickets to a Broadway show cost $35 for adults and $27 for children. The total receipts for 1229 tickets at one performance were
$40335. How many adult and child tickets were sold?
1 answer:
Answer:
The number of adults tickets sold was 894 and the number of children tickets sold was 335
Step-by-step explanation:
Let
x ----> the number of adults tickets sold
y ----> the number of children tickets sold
we know that
x+y=1,229 -----> equation A
35x+27y=40,335 ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (894,335)
see the attached figure
therefore
The number of adults tickets sold was 894 and the number of children tickets sold was 335
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The value of the cosine ratio cos(L) is 5/13
<h3>How to determine the cosine ratio?</h3>The complete question is added as an attachment
Start by calculating the hypotenuse (h) using
h^2 = 5^2 + 12^2
Evaluate the exponent
h^2 = 25 + 144
Evaluate the sum
h^2 = 169
Evaluate the exponent of both sides
h = 13
The cosine ratio is then calculated as:
cos(L) = KL/h
This gives
cos(L) =5/13
Hence, the value of the cosine ratio cos(L) is 5/13
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