Math Equation Response Question
Gary is weeding his vegetable garden.
It takes him 45 seconds to weed 3 square feet.
The vegetable garden is in the shape of a rectangle that is 4 yards by 6 yards.
How many MINUTES will it take Gary to weed his entire vegetable garden?
First, let's convert the dimensions of the garden from yards to feet. Since 1 yard is equal to 3 feet, the length of the garden is 4 yards * 3 feet/yard = 12 feet and the width is 6 yards * 3 feet/yard = 18 feet.
The total area of the garden is the length multiplied by the width: 12 feet * 18 feet = 216 square feet.
Since it takes Gary 45 seconds to weed 3 square feet, we need to find out how many groups of 3 square feet are in 216 square feet. We divide 216 square feet by 3 square feet/group to get 72 groups.
So, it will take Gary 72 groups * 45 seconds/group = 3240 seconds to weed the entire garden.
Since there are 60 seconds in a minute, we divide 3240 seconds by 60 seconds/minute to find out how many minutes it will take Gary to weed the garden.
3240 seconds / 60 seconds/minute = 54 minutes.
Therefore, it will take Gary 54 minutes to weed his entire vegetable garden.
To find out how many minutes it will take Gary to weed his entire vegetable garden, we need to find the total area of the garden and then convert the time from seconds to minutes.
The given dimensions of the rectangular garden are 4 yards by 6 yards.
First, let's convert the dimensions from yards to feet, as the rate at which Gary weeds is given in square feet.
1 yard = 3 feet, so the length of the garden is 4 yards * 3 feet/yard = 12 feet.
Similarly, the width of the garden is 6 yards * 3 feet/yard = 18 feet.
Now, we can calculate the area of the garden.
Area = length * width
Area = 12 feet * 18 feet
Area = 216 square feet.
We know that it takes Gary 45 seconds to weed 3 square feet.
So, to find out how many seconds it will take Gary to weed 216 square feet, we can set up a proportion.
45 seconds / 3 square feet = x seconds / 216 square feet.
Simplifying this proportion gives us:
x = (45 seconds * 216 square feet) / 3 square feet
x = 3240 seconds.
Finally, we need to convert 3240 seconds to minutes.
There are 60 seconds in a minute, so:
3240 seconds / 60 seconds/minute = 54 minutes.
Therefore, it will take Gary 54 minutes to weed his entire vegetable garden.
To find out how many minutes it will take Gary to weed his entire vegetable garden, we need to follow these steps:
1. Calculate the area of the vegetable garden: Since the garden is in the shape of a rectangle, we can use the formula for the area of a rectangle, which is length multiplied by width. The length of the garden is 4 yards, and the width is 6 yards. So, the area of the garden is 4 yards * 6 yards = 24 square yards.
2. Convert the area from square yards to square feet: Since we know that it takes Gary 45 seconds to weed 3 square feet, we need to convert the area of the garden from square yards to square feet. There are 9 square feet in a square yard. Therefore, we multiply the area of the garden (24 square yards) by 9 to get the area in square feet. 24 square yards * 9 square feet/square yard = 216 square feet.
3. Calculate the number of times Gary can weed a 3 square feet area: Dividing the total area of the garden (216 square feet) by the area Gary can weed in 45 seconds (3 square feet) gives us the number of times he needs to repeat the process. 216 square feet / 3 square feet/time = 72 times.
4. Calculate the total time in seconds: Since Gary takes 45 seconds to weed a 3 square feet area, we multiply this time by the number of times he needs to repeat the process (72 times) to calculate the total time in seconds. 45 seconds/time * 72 times = 3240 seconds.
5. Convert the total time from seconds to minutes: Finally, we convert the total time in seconds (3240 seconds) to minutes by dividing it by 60, as there are 60 seconds in a minute. 3240 seconds / 60 seconds/minute = 54 minutes.
Therefore, it will take Gary 54 minutes to weed his entire vegetable garden.