Fill in the blank
56% of 112 = 112% of .........
Answers
Answer:
56%
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 50% of the output value, so we can write it down as x=50%.
5. Now we have two simple equations:
1) 112=100%
2) x=50%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
112/x=100%/50%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 50% of 112
112/x=100/50
(112/x)*x=(100/50)*x - we multiply both sides of the equation by x
112=2*x - we divide both sides of the equation by (2) to get x
112/2=x
56=x
x=56
now we have: