Let child admissions be x and adult admissions be y. We can then use the information given to form a system of equations and solve that system.
The first equation is based on the information about the money made.
5.50x+8.60y=726.40
The second equation is based on the fact that twice as many adult tickets as child tickets were sold.
y = 2x
Since we have an equation equal to one of the variables, substitution will be the easiest way to solve this system. This is when we replace the variable of an equation with its value in the other.
5.50x+8.60y=726.40
5.50x+8.60(2x)=726.40
5.50x+17.2x = 726.40
22.7x = 726.40
x = 32
The number of children tickets sold was 32.
Extra:
To find the number of adult tickets can be found by plugging in the known value we found and solving for the other unknown.
y = 2x
y = 2(32)
y = 64
The number of adult tickets sold was 64.
If you're asking how this is possible,
Answer and explanation:
If Sandy and Allen's mother does the job in 5 hours
And Allen and Sandy's contributions completes the job in 2.5 hours
5 hours - 2.5 hours =2.5 hours
Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours
Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother
A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.
3 feet is 36 inches.
36 x 4 is 144.
There are 144 1/4 inch pieces in 3ft of fishing line.
This number is standard form ninety billion.
Ok so
basically solve for y
2x+18y=36
subtract 2x from both sides
18y=-2x+36
divide both sides b 18
y=-1/9x+2
