At the movie theatre, child admission is $6.30 and adult admission is $9.60 on Monday, 139 tickets were sold for a total sales of $1136.40 how many child tickets were sold that …

Question

asked May 16, 2023 133k views

1 Answer

BinaryLV · Answer 1 · 2023-05-22T09:53:48+0000

Solution:

Take x as the number of child tickets sold, and y as the number of adult tickets sold.

so the equations will be:

6.30x+9.60y=1136.40 Equation 1 : Total sale.

x + y = 139 Equation 2: Total amount of tickets sold.

From equation 2, we obtain:

x = 139-y Equation 3

replacing this into equation 1, we get:

$6.30\mleft(139-y\mright)+9.60y=1136.40$

applying the distributive property, this is equivalent to:

this is equivalent to:

$-6.30y+9.60y=1136.40-\text{ }875.7$

this is equivalent to:

$3.3\text{ y = 260.7}$

solving for y, this is equivalent to:

$y\text{ =}(260.7)/(3.3)=79$

now, replacing this into equation 3, we obtain:

$x=139-y=\text{ 139-79=60}$

So that, we can conclude that the correct answer is:

the number of child tickets sold is x= 60