Question

A farmer grows x acres of peas and y acres of tomatoes. He has 12 acres available to plant peas and tomatoes. Write an inequality in x and y to satisfy this condition. The number acres of tomatoes planted must not be more then twice the number of acres of peas planted. Write an inequality in x and y to satisfy this condition.​​

Answer 1

Y < 2X

Explanation:

Let the acres of land on which pea is to be cultivated is "X" acres and the acres of land on which tomato is to be cultivated is "Y"

It is given that number acres of tomatoes planted must not be more then twice the number of acres of peas planted

Thus,
`Y < 2X`

`X + Y = 12` acres

`Y = 12-X` acres

Thus,

`12 - X \leq X\\12\leq 2X\\6 \leq X`

Let us take X = 6 , Then Y = 13-6 = 6