Question

The top three crops in the United States in 2013 in terms of the number of acres planted at work are corn, soybeans, and wheat. The total number of acres planted in these crops is 227.9 million. The number of acres planted in wheat was 39.2 million fewer than the number of acres planted in corn. The number of acres planted in soybeans was 35.7 million more than twice the number of acres planted in wheat. Find the number of acres planted in each crop.

a) Corn: 120.7 million acres, Soybeans: 79.8 million acres, Wheat: 27.9 million acres
b) Corn: 105.3 million acres, Soybeans: 57.1 million acres, Wheat: 45.5 million acres
c) Corn: 130.2 million acres, Soybeans: 65.1 million acres, Wheat: 32.4 million acres
d) Corn: 95.6 million acres, Soybeans: 75.9 million acres, Wheat: 56.4 million acres

Answer 1

The number of acres planted in corn is 105.3 million, soybeans are 57.1 million, and wheat is 45.5 million.

Step-by-step explanation:

To find the number of acres planted in each crop, we can set up a system of equations. Let's assume the number of acres planted in corn is C, soybeans is S, and wheat is W. We know that:

1. C + S + W = 227.9 million (total number of acres planted)
2. W = C - 39.2 million (the number of acres planted in wheat is 39.2 million less than in corn)
3. S = 2W + 35.7 million (the number of acres planted in soybeans is 35.7 million more than twice the number of acres planted in wheat)

Solving these equations, we find that the number of acres planted in corn is 105.3 million, soybeans are 57.1 million, and wheat is 45.5 million. Therefore, option b) is correct.