Because x+y = z like a+b= c
The LCD of the denominator is 12. For this one it is possible to just 'see' that 6 is a divisor of 12. When in doubt, you can always get an answer by just multiplying the denominators. (ie., you can turn 11/12 into 66/72 and 1/6 into 12/72).
In this case, the easiest is to convert 1/6 into 2/12. (multiply both numbers by 2).
Then it becomes:
So
Total cost of the workbooks is d
And the number of workbooks is t
Therefore d = 95
95=19t
t=95/19=5
5 workbooks
About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.


Simplify

Subtract 144 from both sides

divide both sides by 2

complete the square

take the square root of both sides.

subtract by 6 to get about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56
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