23 travelers forest 63 piles of plantains containing the same number of plantains and a remaining pile containing 7 plantains. They divided the plantains equally. What is the least number of plantains that each traveler got?

14 plantains

Step-by-step explanation:

Given

plantain in a pile

plantain received by each

travelers

Required

The least value of y

Note that:

- There are x plantains in 1 pile, so there will be 63x in 63 piles

- The number of plantains shared is: 7 to 63x (7 represents the single plantain)

- 1 traveler gets y plantains, so 23y will receive 7 + 63x plantains

So, the equation is:

Make y the subject

The values of x and y must be integer and these values must be greater than 0.

Using trial by error method, we test the values of x starting from 1;

So, we have:

So, the smallest values of x and y that satisfy the equation is:

Hence, the least number of plantain each traveler got is 14