If 111 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the c
oncert was $401.25, how many of each went to the concert?
2 answers:
Answer:
Number of children=57
Number of adults=54
Step-by-step explanation:
We can start by forming simultaneous equations from the information provided.
Let the number of children be x and adults be y, then the the sum of the amount collected from both children and adults=3.25x+4y=401.25
The total number of people in attendance x+y=111
Let us solve these equations simultaneously.
3.25x+4y=401.25
x+y=111
Using substitution method.
y=111-x
3.25x+4(111-x)=401.25
3.25x+444-4x=401.25
-0.75cx=-42.75
x=57
Number of children=57
Adults=111-57
=54
Answer:
57 children
54 adults
Step-by-step explanation:
Let's call x the number of children admitted and call z the number of adults admitted.
Then we know that:

We also know that:

We want to find the value of x and z. Then we solve the system of equations:
-Multiplay the first equation by -4 and add it to the second equation:


----------------------------------


Now we substitute the value of x in the first equation and solve for the variable z



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