Question
Set up and solve a proportion for the following application problem. I1 6 pounds of grass seed cover 367 square feet, how many pounds are needed for 4037 square feet?
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GPT 3.5
Let's call the number of pounds needed for 4037 square feet "x".
The proportion is: 6 pounds / 367 square feet = x pounds / 4037 square feet.
To solve for x, we can cross multiply.
(6 pounds) * (4037 square feet) = (367 square feet) * (x pounds)
24142 pounds = 367 * x
Now we can solve for x by dividing both sides of the equation by 367.
x = 24142 pounds / 367
x = 65.78 pounds (rounded to two decimal places)
Therefore, approximately 65.78 pounds of grass seed are needed for 4037 square feet.
The proportion is: 6 pounds / 367 square feet = x pounds / 4037 square feet.
To solve for x, we can cross multiply.
(6 pounds) * (4037 square feet) = (367 square feet) * (x pounds)
24142 pounds = 367 * x
Now we can solve for x by dividing both sides of the equation by 367.
x = 24142 pounds / 367
x = 65.78 pounds (rounded to two decimal places)
Therefore, approximately 65.78 pounds of grass seed are needed for 4037 square feet.
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