Respuesta :

C: 160 is the correct answer

Answer:

answer is 160

Step-by-step explanation:

1. We assume, that the number 40 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 100% equals 40, so we can write it down as 100%=40.

4. We know, that x% equals 64 of the output value, so we can write it down as x%=64.

5. Now we have two simple equations:

1) 100%=40

2) x%=64

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:

100%/x%=40/64

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64 is what percent of 40

100%/x%=40/64

(100/x)*x=(40/64)*x    

100=0.625*x

100/0.625=x

160=x

x=160

now we have:

64 is 40% 160