SOLUTION: Lois started excersizing 3 days a week. He lost 8.09% of his body weight in 3 months. He continued to excersize and eat right and lost another 1.4 pounds. He has now lost 8.74% of

Algebra ->  Absolute-value -> SOLUTION: Lois started excersizing 3 days a week. He lost 8.09% of his body weight in 3 months. He continued to excersize and eat right and lost another 1.4 pounds. He has now lost 8.74% of       Log On


   



Question 1079825: Lois started excersizing 3 days a week. He lost 8.09% of his body weight in 3 months. He continued to excersize and eat right and lost another 1.4 pounds. He has now lost 8.74% of his body weight. How much did Lois weigh before he started excersizing and eating right?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = his body weight at the beginning.
He lost +.0809x+ of his body weight. That
means he has +%28+1+-+.0809+%29%2Ax+=+.9191x+ pounds left.
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Then he lost +1.4+ pounds
He has +.9191x+-+1.4+ pounds left
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At this point he has lost +.0874x+ pounds
That means he has +%28+1+-+.0874+%29%2Ax+=+.9126x+ pounds left
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I can say:
+.9191x+-+1.4+=+.9126x+
+.0065x+=+1.4+
+x+=+215.385+
He weighed 215.385 pounds at the beginning
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check:
He lost +.0809%2A215.385+=+17.4246+
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He lost +1.4+ more
+1.4+%2B+17.4246+=+18.8246+
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+18.8246+=+.0874%2A215.385+
+18.8246+=+18.8246+
OK