How can you use a mixed number ti write 11 feet as an equivalent measure in yards

Mathematics

1 answer:

svetoff [14.1K]2 years ago

4 0

Answer: 3 2/3 Yards

Step-by-step Solution:

In order to solve this problem, you'll want to set up a conversion equation.

** 1 Yard = 3 Feet **

To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.

You can then solve by using simple division. I will attach a photo of the steps I did by hand.

** Canceling the units will help avoid confusion **

After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.

3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.

I hope this helps! c:

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4 unknowns needs 4 equations. I'll call the unknown numbers a,b,c,d in that order left to right.

4 + a = b
a + b = c
b + c = d
c + d = 67

let's use substitution to get rid to combine equations and get rid of variables.
If a + b = c then a = c - b
4 + (c - b) = b
4 + c = 2b

If b + c = d then b = d - c
4 + c = 2(d - c)
4 + c = 2d - 2c
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then we have c + d = 67 so c = 67 - d

4 + 3(67 - d) = 2d
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Should be easy now, subtract backwards.

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