Question

A farmer is planting crops. For every 4 rows of corn, he plants 3 rows of wheat. If he plants 63 rows in total, how many rows are corn?



(1 point)
rows of corn

Answer 1

To determine how many rows of corn the farmer plants, we can use the ratio of corn to wheat given in the problem. The ratio is 4 rows of corn for every 3 rows of wheat, which can be expressed as:

- Corn: 4 parts
- Wheat: 3 parts

This gives a total of \(4 + 3 = 7\) parts.

Now, we can set up a proportion based on the total number of rows the farmer is planting, which is 63 rows.

Let \(x\) be the number of rows of corn. Then, the ratio of corn rows to the total rows is:

\[
\frac{4}{7} = \frac{x}{63}
\]

To find \(x\), we can cross-multiply:

\[
4 \times 63 = 7 \times x
\]

Calculating \(4 \times 63\):

\[
252 = 7x
\]

Now, divide both sides by 7:

\[
x = \frac{252}{7} = 36
\]

So, the number of rows of corn is \(36\).

Thus, the final answer is:

**36 rows of corn.**