Answer: 3 1/2
Step-by-step explanation: First you have to convert the fractions so that they all have the same denominator. Using 12 will be the easiest. 1 and 1/3 equals 16/12 because 1/3 equals 4/12 and 1 equals 12/12. 3/4 equals 9/12. 2/3 equals 8/12. And 3/4 equals 9/12 again. 16/12 plus 9/12 plus 8/12 plus 9/12 equals 42/12. 42/12 in the simplest form would be 3 and 1/2, because 42 divided by 12 is 3.5.
Reduced by 55%
100=original
100-55=45
45% of oiriginal=29.99
percent means parts out of 100
45%=0.45
0.45 of original=29.99
divide both sides by 0.45
original=66.644444444444444444444444444444
round
$66.64 is original price
Basically you're solving for both variables here.
I prefer elimination method so that is what I used.
I started off by multiplying each equation in order to get one of the variables at the same value so it would be possible to cancel it out.
Multiplying the first equation by 3 gave me,
12x + 15y = 69
Then I multiplied the second equation by 4,
-12x + 28y = -56
As you can see, it's not possible to cancel out the x variable.
12x + 15y = 69
+(-12x + 28y = -56)
_____________
13y = 13
Then just solve for y which gives you -1.
After you have one variable solved simply insert it into one of the original equations to find the other variable.
4x + 5(-1) = 23
4x - 5 = 23
4x = 28
x = 7.
And there you have it! Hope this helped!