Question

A farmer plants 7 1/4acres of green apple trees in his orchard

Answer 1

the farmer's entire orchard is
`\( 19(1)/(3) \)` acres.

Let x be the total number of acres in the farmer's orchard.

The information given states that
`\( 7(1)/(4) \)` acres of green apple trees make up
`\( (3)/(8) \)` of the entire orchard.

So, we can set up the equation:

`\[ 7(1)/(4) = (3)/(8) \cdot x \]`

To simplify, convert
`\( 7(1)/(4) \)` to an improper fraction:

`\[ (29)/(4) = (3)/(8) \cdot x \]`

Now, to solve for x, multiply both sides of the equation by the reciprocal of
`\( (3)/(8) \), which is \( (8)/(3) \):`

`\[ x = (29)/(4) \cdot (8)/(3) \]`

Multiply the numerators and denominators:

`\[ x = (29 \cdot 8)/(4 \cdot 3) \]`

`\[ x = (232)/(12) \]`

Simplify the fraction:

`\[ x = 19(4)/(12) \]`

`\[ x = 19(1)/(3) \]`

Therefore, the farmer's entire orchard is
`\( 19(1)/(3) \)` acres.

The probable question may be:

A farmer plants 7(1)/(4) acres of green apple trees in his orchard. This makes up (3)/(8) of his entire orchard. How many acres make up the farmer's entire orchard?