If we were trying to solve this problem, you have to make 2 equations. We have H and C to represent hamburgers and cheeseburgers, respectively. The problem states that the shop sold a combined total of 614 hamburger and cheeseburgers, the equation for this is:
H + C = 614
And the shop also states that there we 64 more cheeseburgers sold than hamburgers. This also means that it would take 64 more hamburgers to equal the number of cheeseburgers sold. So the equation for this is:
C = 64 + H
Now, we can substitute the second equation into the first equation. So what we get is:
2H + 64 = 614
2H = 550
This means that 275 hamburgers were sold on Friday.
This can be solved using proportion then cross-multiplying. Let Jackson's shadow be X, and we are going to make a proportion with this. If you take the tree's length and divide it by the tree's shadow, it should be proportional to the quotient of Jackson's height and shadow. So we have the equation of 6/10.8=1.2/x, this we can easily solve by cross multiplying, and we get the answer of 2.16 meters.
A logical solution to why 12+n is the correct answer to the problem is by subsituting a number to the original expression, lets say we subsitute 4, the expression simplifies to 8. Then we can check for all the other 4 answer choices if their expressions simplify to 8. After deductive reasoning, we are able to pinpoint that 12+n does NOT simplify to 8, which is the solution to the problem.
You can easily solve this by using cross multiplication. To do this, multiply each side by the denominator of the fraction from the opposite side of the equation. When that is done you should have this: -4(5-c)=3(2c+2). Now that it is easy to simplify, we use the distributive property to simplify it to -20+4c=6c+6. Then we will have to move the variables to one side, we do this by subtracting 6c from the right side of the equation. Now we have -20-2c=6, then we add 20, which leads to; -2c=26. We then can divide by negative 2 to completely isolate the variable. This gives us the answer as c=-13.