Question

Mr. Brown has a 1,253 acre farm. Ninety-two percent of the farm will be planted in grain.Forty-one percent of the grain planted will be corn.a. How many acres will be planted in grain?b. How many acres of corn will Mr. Brown plant?

Answer 1

Number of acres = 1, 152.76 acres

Mr. Brown has a 1, 253 acres farm.

92% of the farm will be planted in grain

41% of the grain planted will be corn.

How many acres will be planted in grain?

Since, the total acres of the farm = 1, 253 acres

92% of the farm will be planted in grain

How many acres will be planted in grain is

`\begin{gathered} \text{ 92\% x total acres of farm} \\ (92)/(100)\text{ X 1253} \\ 0.92\text{ x 1253} \\ =\text{ 1,152.76 acres} \end{gathered}`

Therefore, 1, 152.76 acres of the farm will be planted in grain

Part 2

How many acres of corn will Mr. Brown Plant?

Since, 1, 152.76 acres of the total farm acres will be planted in grain

Also 41% of the grain planted will be corn

The number of acres of corn that will be planted by Mr. Brown is

`\begin{gathered} =\text{ 41\% x 1, 152.76 acres} \\ =\text{ }(41)/(100)\text{ x 1, 152.76} \\ =\text{ 0.41 x 1, 152.76} \\ =\text{ 472. 6316 acres} \end{gathered}`

Mr. Brown will plant 472.6316 acres of corn on the farm