SOLUTION: 40% of a number equals the difference between the number and 10

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Question 207901This question is from textbook intermediate algebra
: 40% of a number equals the difference between the number and 10 This question is from textbook intermediate algebra

Found 2 solutions by checkley77, MathTherapy:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.4x=10-x
.4x+x=10
1.4x=10
x=10/1.4
x=7.1428 ans.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
40% of a number equals the difference between the number and 10

Let N be the number. Then, based on the given information, we have:
%2840%2F100%29+%2A+N+=+N+-+10
%284%2F10%29+%2A+N+=+N+-+10 ---- reducing 40%2F100

4N = 10N - 100 ----- Multiplying by LCD, 10

-6N = - 100
N+=+%28-100%29%2F-6 or highlight_green%2850%2F3%29
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Check:
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.4%2A%2850%2F3%29+=+50%2F3+-+10
20%2F3+=+50%2F3+-+10
20 = 50 - 30 (Multiplying by LCD, 3) (TRUE)