Question

A farmer has 120 rose plants, 288 lily plants and 240 jasmine plants. He planned to plant same number of plants in every row and only one type of plant in a single row. Find the number of rows in which he could plant all the plants?

Answer 1

please mark as brainlist answer

Answer 2

Given,

A farmer has 120 rose plants, 288 lily plants and 240 jasmine plants.

To Find,

The number of rows in which he could plant all the plants.

Solution,

To find the number of rows we will follow the following steps:

First of all, we will make factors of 120, 288 and 240. After that, we will find the minimum number of rows required to plant an equal number of plants in every row.

Factors of 120 = 2×2×2×3×5

Factors of 288 = 2×2×2×2×2×3×3

Factors of 240 = 2×2×2×2×3×5

As we know that HCF is the highest common factor among given numbers. So,

HCF of 120, 287 and 240

= 2×2×2×3

= 24

Also,

Total number of plants = 120+288+240

=648

The number of rows in which he could plant all the plants

$= \frac{Total \: number \: of \: plants}{hcf \: of \: different \: variety \: of \: plants}$

$= \frac{648}{24}$

$= 27$

Henceforth, he will require 27 rows for planting the same number in every row and only one type of plant in a single row.