Answer:
c
Step-by-step explanation:
Let c represent the speed of the current.
time = distance/speed
Upriver, the current is subtracted from the canoe speed; downriver, it adds.
6 = 32/(12 -c) +32/(12 +c)
6(12² -c²) = 32(12 +c) +32(12 -c) . . . . . multiply by (12 +c)(12 -c)
0 = 6c² -96 . . . . . . . . . . . . . . . . . . . . . . subtract the left side
96/6 = c² . . . . . . . . . . . . . . . . . . . . . . . . add 96, divide by 6
4 = c . . . . . . . . . . . . . . . . . . . . . . . . . . . . take the square root
The rate of the current is 4 mph.
To find the answer, set up a system of equations.
Let x=adult tickets and y=senior citizen tickets.
x+y=556
22x+12y=8492
Change the first equation to make it easy to combine with the second equation.
y=556-x
Now substitute (556-x) for y in the second equation.
22x+12(556-x)=8492
Simplify and combine like terms.
22x+6672-12x=8492
10x=1820
x=182
182 adult tickets were sold, so to solve for the number of senior citizen tickets sold, subtract 182 from 556.
556-182=374
374 senior citizen tickets were sold.
Answer:
5
Step-by-step explanation:
Factors of 35: 1,5,7,35
Factors of 10: 1,2,5,10
5 is the greatest common factor.
