Senior tickets (x)
Child tickets (y)
First day: 3x + 5y = 70
second day: 12x + 12y = 216
Solve the system of equations (use elimination)
Multiply first equation by -4 -4(3x + 5y = 70), which makes it
-12x - 20y = -280
(+)12x + 12y = 216 add to second equation
-8y = -64
divide by -8. y = 8
Plugin the y value to either equation ( I will choose first equation)
3x + 5(8) =70
3x+ 40 = 70
3x = 30
x = 10
Senior tickets are $10, child tickets are $8
Rule for dividing fractions...
(a/b) / (c/d) = (a/b)*(d/c) = (ad)/(bc)
in this case:
(3/5)/(1/2)=(3/5)(2/1)=6/5=1 1/5=1.2
Answer:
x=0
Step-by-step explanation:
-3 -1
---------- = -----------
x+3 x+1
We can solve using cross products
-3 *(x+1) = -1(x+3)
-3x -3 = -1x -3
Add 3x to each side
-3x -3 +3x = -x -3 +3x
-3 = 2x -3
Add 3 to each side
-3+3 = 2x-3+3
0 =2x
Divide by 2
0/2 =2x/2
0=x
Distance = 475 time = 9.5 hrs since distance and time varies directly therefore in 9.5 hrs train travels 475 miles => In 1 hr train travels 475 / 9.5 miles = 50 miles and in 4 hrs train travells 50*4 i.e 200 miles