Avideo merchant sold 24 cases of tapes, which was 20% of what he had left. what percent of tapes did he sell?

i need this very soon and it's not 20%

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:

Therefore, the merchant sold 16.7% of the cases of tapes.

answer:

step-by-step explanation: