Answer:
Its to multiply the numerators by each other and the denominators by each other
Step-by-step explanation:
If adding and subtracting fractions is about finding the least common denominator
dividing fractions is to keep the first fraction,multiply and reverse the second fraction,so dividing is pretty similar to multiplying but just switching the divide sign with a multiplication sign and reversing the second fraction from numerator/denominator to denominator/numerator
and there is always a big difference if you multiply/divide or add/subtract
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
The answer is A. Hope it helps
(5y+2x)*3+(x+y)=15y+6x-x-y=5x+14y