Answer:
65 tickets for children
Step-by-step explanation:
In this case we can solve it by means of a 2x2 system of equations, like this:
Let x be the ticketsr of children
let y be the tickets of adults
Thus:
5.3 * x + 9.4 * y = 852.1
x + y = 119 => x = 119 - y
replacing, we are left with:
5.3 * (119 - y) + 9.4 * y = 852.1
630.7 - 5.3 * y + 9.4 * y = 852.1
9.4 * y - 5.3 * y = 852.1 - 630.7
4.1 * y = 221.4
y = 221.4 / 4.1
y = 54
Now to calculate x:
x = 119 - 54
x = 65
Which means that there are 65 tickets for children and 54 tickets for adults.
