If 3/5 ᵗʰ of a number is 4 more than 1/2 the number, then what is the number?

Step-by-step explanation:

3/5 x = 1/2 x + 4                             Subtract 1/2 x from both sides

3/5 x - 1/2 x  = 1/2 x - 1/2 x + 4      Change the left side to fractions with LCDs

6/10 x - 5/10 x = 4                          Subtract

1/10 x = 4                                          Multiply both sides by 10

10* 1/10 x = 4 * 10

x = 40

If the cost of an item reduced 20 percent is $89.60, then 4/5 of the original price (let's call it x) is $89.60. So, we can now solve for x (the original price). 

4/5 x = 89.60

Now, we multiply by the reciprocal of the value in front of x to get x by itself

4/5 x * 5/4 = 89.60 * 5/4
x = 112

That means that the original price of the item was $112.