Samuel father has a garden in the backyard. He devised the garden into eight equal size parts. He planted carrots in one over eight of the garden. He planted tomatoes and 4/8 of the garden, and he planted beans and the rest of the garden. What fraction of the garden did the plant beans in, show your equation and the correct answer

Question

Samuel father has a garden in the backyard. He devised the garden into eight equal size parts. He planted carrots in one over eight of the garden. He planted tomatoes and 4/8 of the garden, and he planted beans and the rest of the garden. What fraction of the garden did the plant beans in, show your equation and the correct answer

Answer 1

Let x be the fraction of the garden planted with beans.

Since the garden is divided into eight equal parts, we know that the fraction of the garden planted with carrots is 1/8 and the fraction planted with tomatoes is 4/8.

Therefore, the total fraction of the garden planted is:

1/8 (carrots) + 4/8 (tomatoes) + x (beans) = 1

1/8 + 4/8 + x = 1
5/8 + x = 1
x = 1 - 5/8
x = 3/8

So, the fraction of the garden that Samuel's father planted with beans is 3/8.