two traders, Ali and baba, each started with the same number of mangoes. ali ate 2 mangoes and sold the rest for a total of 700 nairr. baba found that 11 of his mangoes where bad, he sold the rest for 600 naira. if their average selling prices per Mango were the same, how many mangoes did each of them have to start with?
Let's assume that Ali and Baba both started with "x" number of mangoes.
From the given information:
Ali ate 2 mangoes and sold the rest for 700 naira.
So, Ali sold "x - 2" mangoes for 700 naira.
Baba found that 11 of his mangoes were bad, so he sold "x - 11" mangoes for 600 naira.
Now, we are told that their average selling price per mango was the same.
Average selling price = Total selling price / Number of mangoes sold.
For Ali, average selling price = 700 / (x - 2) naira.
For Baba, average selling price = 600 / (x - 11) naira.
Since their average selling prices were the same, we can set up the following equation:
700 / (x - 2) = 600 / (x - 11).
Now, let's solve this equation to find the value of "x".
700(x - 11) = 600(x - 2).
700x - 7700 = 600x - 1200.
700x - 600x = -1200 + 7700.
100x = 6500.
x = 6500 / 100.
x = 65.
So, both Ali and Baba initially had 65 mangoes each.