Use algebra to set up 2 equations.
Assign c as number of tickets for CATS and w for number of tickets of WICKED
c + w = 2700
c / w = 7 / 11
Then solve for one of them in the first equation
c = 2700 - w
Then put this value for c into the 2nd equation
(2700 - w) / w = 7 / 11
Now cross multiply the numerator by denominator of both numerator and denominator pairs
7w = 11 x (2700 - w)
7w = 29700 - 11w
Now solve for w
7w = 26700 - 11w
Add +11w to both sides
18w = 29700
Now divide by 18 on both sides
w = 1650
Then c is the remainder of that ... 2700 - 1650 = 1050
You can also check because 7 / 11 = 1050 / 1650
We have to set up 2 different equations if we are to solve for 2 unknowns. The first equation is x = y + 4. One number (x) is (=) 4 more than another (y + 4). Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger. The second equation then is
. In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation:
. Expand that binomial to get
. Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64. Solving for y we get that y = 6. Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!
Answer:
graph two points at the coordinates (-6, 0) and the coordinates (-8, 3), and make a line through them.
Step-by-step explanation:
First simplify. 2x+3y= -18., -----------> 3y= -2x -18., ---------> y= -2/3x -6
To graph this you would first go to the coordinates (-6, 0) and put a point there. Next, you would go to the coordinates (-8, 3) and put a point there. Then make a line and you are done. That should be right.
If it’s all 3 being chosen it’s 1/7 X 1/7 X 1/7 which is .002915 which would be a .29%
