375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Step-by-step explanation:
Let x be the number lower reserved tickets
and
y be the number of upper reserved tickets
Then according to given statements
![x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2](https://tex.z-dn.net/?f=x%2By%20%3D%20740%5C%20%5C%20%5C%20%5C%20Eqn%5C%201%5C%5C9.50x%2B8y%20%3D%206482.50%5C%20%5C%20%5C%20%5C%20Eqn%5C%202)
From equation 1:
![x = 740-y](https://tex.z-dn.net/?f=x%20%3D%20740-y)
Putting in equation 2
![9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50](https://tex.z-dn.net/?f=9.5%28740-y%29%2B8y%20%3D%206482.50%5C%5C7030-9.5y%2B8y%20%3D%206482.50%5C%5C7030-1.5y%20%3D%206482.50)
Subtracting 7030 from both sides
![7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5](https://tex.z-dn.net/?f=7030-7030-1.5y%20%3D%206482.50-7030%5C%5C-1.5y%3D-547.5)
Dividing both sides by -1.5
![\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365](https://tex.z-dn.net/?f=%5Cfrac%7B-1.5y%7D%7B-1.5%7D%20%3D%20%5Cfrac%7B-547.5%7D%7B-1.5%7D%5C%5Cy%20%3D%20365)
Putting y = 365 in equation 1
![x+365 = 740\\x = 740 - 365\\x = 375](https://tex.z-dn.net/?f=x%2B365%20%3D%20740%5C%5Cx%20%3D%20740%20-%20365%5C%5Cx%20%3D%20375)
Hence,
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Keywords: Linear equations, Variables
Learn more about linear equations at:
#LearnwithBrainly
-6x+3=45
-3 -3 subtract
-6x=45
Divide both sides by -6
X=-7
I think this is the answer
Answer:
c
Step-by-step explanation:
1 2/3 in improper form is -> 5/3
4 1/6 in improper form is -> 25/6
5/3 is equal to-> 10/6
so.. 25 divided by 10 equals 2.5
so to fill the cylinder you'll need 3 sm cylinders (u can't only have a half of a cilinder)
let x and y be the two numbers respectively.
since there diff is 20 so
x-y=20....(1)
then they are in ratio 3:7 so
x/y=3/7
or x=3y/7....(2)
now putting the value of x in eqn (1) we get
3y/7-y=20
or 3y-7y=20×7
or -4y=140
or y=140/-4
y=-35
now keeping the value of y in eqn (2) we get
x=3×(-35)÷7
x=-15
therefore,the numbers are x=-15 and y=-35.