At the movie theatre, child admission is
$5.30
and adult admission is
$8.70
. On Friday,
155
tickets were sold for a total sales of
$1137.70
. How many child tickets were sold that day?
number of children --- c
number of adults ---- 155-c
5.3c + 8.7(155-c) = 1137.7
5.3c + 1348.5 - 8.7c = 1137.7
-3.4c = -210.8
c = 62
So 62 children tickets were sold on Friday
Let's assume that the number of child tickets sold is C and the number of adult tickets sold is A.
From the given information, we can set up the following equations:
C + A = 155 (equation 1) (since the total number of tickets sold is 155)
5.30C + 8.70A = 1137.70 (equation 2) (since the total sales amount is $1137.70)
We can solve these equations to find the values of C and A.
First, let's solve equation 1 for A:
A = 155 - C
Substituting this value of A in equation 2:
5.30C + 8.70(155 - C) = 1137.70
Simplifying and solving for C:
5.30C + 1348.50 - 8.70C = 1137.70
-3.40C = 1137.70 - 1348.50
-3.40C = -210.80
C = -210.80 / -3.40
C ≈ 62.
Therefore, approximately 62 child tickets were sold that day.
To find out how many child tickets were sold, we can set up a system of equations.
Let's assume that the number of child tickets sold is represented by 'C' and the number of adult tickets sold is represented by 'A'.
From the given information, we know that the price of a child ticket is $5.30, and the price of an adult ticket is $8.70.
We can write the following equations based on the given information:
Equation 1: C + A = 155 (total number of tickets sold)
Equation 2: 5.30C + 8.70A = 1137.70 (total sales)
Now, we can solve this system of equations to find the values of C and A.
To do this, we can use the method of substitution or elimination. Let's use the method of substitution:
From Equation 1, we have C = 155 - A.
Now, substitute this value of C in Equation 2:
5.30(155 - A) + 8.70A = 1137.70.
Simplifying:
821.50 - 5.30A + 8.70A = 1137.70.
Combine the like terms:
3.40A = 316.20.
Divide both sides by 3.40:
A = 316.20 / 3.40 = 93.
Now, substitute the value of A back into Equation 1:
C + 93 = 155.
Subtract 93 from both sides:
C = 155 - 93 = 62.
Therefore, 62 child tickets were sold that day.