Answer:
16.7%
Step-by-step explanation:
Total number of cases sold = 24
In order to find what percentage of cases were sold we first need to know the total number of cases that the merchant had.
Let the total number of cases the merchant initially had was x. After selling 24 cases, the number of cases he is left with is x - 24
According to the statement, the number of cases sold (i.e. 24) is 20% of the number of cases the merchant originally had (i.e. x - 24)
This can be written as:
24 is 20% of x - 24
In equation form this becomes:
24 = 20% of ( x - 24)
24 = 0.20(x - 24)
24 = 0.20x - 4.8
24 + 4.8 = 0.20x
28.8 = 0.20x
x = 144
This means the merchant initially had 144 cases of tapes. He sold 24 of them. So the percentage of cases he sold will be:
[tex]\frac{24}{144} \times 100\%\\\\ = 16.7%[/tex]
Therefore, the merchant sold 16.7% of the cases of tapes.
