Answer :
Answer:
The answer to the question is
Dwayne planted 42 acres of pinto beans.
Step-by-step 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 [tex]\frac{2}{3} y[/tex] = 70-y from where we have [tex]\frac{5}{3}[/tex]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.