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Question 2 64 is 40% of what number? А 128 B 256 160 D 26
Question
Question 2
64 is 40% of what number?
А
128
B
256
160
D
26
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Mathematics
5 years
2021-07-26T15:01:41+00:00
2021-07-26T15:01:41+00:00 2 Answers
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Answers ( )
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