Math / Numbers & Operations

Question(b) It takes 87 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?

Studdy Solution

STEP 1

1. The total amount of seed required to plant the entire field is $87$ pounds.
2. The total area of the field is $12$ acres.
3. We need to find the amount of seed needed per acre.

STEP 2

1. Define the variable.
2. Set up the equation.
3. Solve the equation.

STEP 3

Let $y$ be the number of pounds of seed needed per acre.

STEP 4

Set up the equation based on the total amount of seed and the total area.
$12 \times y = 87$

STEP 5

Solve for $y$ by dividing both sides of the equation by $12$ .
$y = \frac{87}{12}$

STEP 6

Calculate the value of $y$ .
$y = \frac{87}{12} = 7.25$
The number of pounds of seed needed per acre is:
$\boxed{7.25 \text{ pounds per acre}}$

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Question(b) It takes 87 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?

Studdy Solution

STEP 1

1. The total amount of seed required to plant the entire field is $87$ pounds.
2. The total area of the field is $12$ acres.
3. We need to find the amount of seed needed per acre.

STEP 2

1. Define the variable.
2. Set up the equation.
3. Solve the equation.

STEP 3

Let $y$ be the number of pounds of seed needed per acre.

STEP 4

Set up the equation based on the total amount of seed and the total area.
$12 \times y = 87$

STEP 5

Solve for $y$ by dividing both sides of the equation by $12$ .
$y = \frac{87}{12}$

STEP 6

Calculate the value of $y$ .
$y = \frac{87}{12} = 7.25$
The number of pounds of seed needed per acre is:
$\boxed{7.25 \text{ pounds per acre}}$

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Question(b) It takes 87 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?

Studdy Solution

STEP 1

1. The total amount of seed required to plant the entire field is 87 87 87 pounds.2. The total area of the field is 12 12 12 acres.3. We need to find the amount of seed needed per acre.

STEP 2

1. Define the variable.2. Set up the equation.3. Solve the equation.

STEP 3

Let y y y be the number of pounds of seed needed per acre.

STEP 4

Set up the equation based on the total amount of seed and the total area.12×y=87 12 \times y = 87 12×y=87

STEP 5

Solve for y y y by dividing both sides of the equation by 12 12 12.y=8712 y = \frac{87}{12} y=1287​

STEP 6

Calculate the value of y y y.y=8712=7.25 y = \frac{87}{12} = 7.25 y=1287​=7.25 The number of pounds of seed needed per acre is:7.25 pounds per acre\boxed{7.25 \text{ pounds per acre}}7.25 pounds per acre​

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. The total amount of seed required to plant the entire field is $87$ pounds.
2. The total area of the field is $12$ acres.
3. We need to find the amount of seed needed per acre.

1. Define the variable.
2. Set up the equation.
3. Solve the equation.

Let $y$ be the number of pounds of seed needed per acre.

Set up the equation based on the total amount of seed and the total area.
$12 \times y = 87$

Solve for $y$ by dividing both sides of the equation by $12$ .
$y = \frac{87}{12}$

Calculate the value of $y$ .
$y = \frac{87}{12} = 7.25$
The number of pounds of seed needed per acre is:
$\boxed{7.25 \text{ pounds per acre}}$