SOLUTION: two times the reciprocal of a number equals 32 times the reciprocal of 40. find the number.

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Question 218134: two times the reciprocal of a number equals 32 times the reciprocal of 40. find the number.
Found 2 solutions by RAY100, drj:
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number
.
2(1/x) = 32/40
.
2/x = 32/40,,,,,,,cross multiply
.
2*40 = 32x
.
2.5 = x,,,,,,,,answer
.
.
check,,,,,,,2/2.5 = 32/40 =.8,,,,,,ok

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Two times the reciprocal of a number equals 32 times the reciprocal of 40. find the number.

Step 1. Let x be the number and 1/x be the reciprocal.

Step 2. Let 2/x be two times the reciprocal.

Stpe 3. Let 1/40 be the reciprocal of 40.

Step 4. Then 2/x=32/40 since two times the reciprocal of a number equals 32 times the reciprocal of 40

Step 5. Solving yields the following steps:

2%2Fx=32%2F40=4%2F5

Multiply 5x/4 to both sides of the equation to get x in numerator and to simplify.


%285x%2F4%29%2A%282%2Fx%29=%285x%2F4%29%2A%284%2F5%29

10%2F4=x

x=5%2F2

Step 6. ANSWER: The number is 5/2.

I hope the above steps and explanation were helpful.

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Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

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