A 32-acre field yields 768 bushels of corn each year. How many more acres are needed to yield 960 bushels of corn each year?

Explanation

To determine the additional acres required, set up a proportion based on the initial data: a 32-acre field yields 768 bushels. Express this as a ratio: 32 acres/768 bushels = (32 + x) acres/960 bushels, where 'x' is the number of additional acres needed.Cross-multiply to obtain: 32 * 960 = (32 + x) * 768.Upon solving, you get 30,720 = 24,576 + 768x.Further simplification gives 6,144 = 768x, leading to x = 8.Therefore, 8 more acres are required to reach the desired yield of 960 bushels. Other options either underestimate or overestimate the necessary acres based on incorrect calculations of the proportion.