Question

Dwayne planted 70 acres with two types of beans: navy and pinto. Each acre of navy beans yielded 27 bushels and each acre of pinto beans yielded 36 bushels. If Dwayne grew twice as many bushels of pinto beans as navy beans, how many acres of pinto beans did he plant?

Answer 1

The answer to the question is

Dwayne planted 42 acres of pinto beans.

Explanation:

To answer the question, we note that

Each acre of navy beans yielded 27 bushels

each acre of pinto beans yielded 36 bushels

Let the number of bushels of navy beans be x, therefore

The number of bushels of pinto beans = 2·x

Let the number of acres of pinto beans be y acres

Therefore the number of acres of navy beans = 70 - y acres

this means that we have 36 × y bushels of pinto beans and

(70 -y) × 27 bushels of navy beans

but the number of bushels of pinto beans = 2×The number of bushels of navy beans

Therefore 36·y bushels of pinto beans = 2 × (70 -y) × 27 bushels of navy beans 36y= 54(70-y) or
`(2)/(3) y` = 70-y from where we have
`(5)/(3)`y = 70 or y = 42

The number of acres of pinto beans = 42 acres and

the number of acres of navy beans = 70 - 42 acres or 28 acres.