2 answers

After Mrs. Fisher lost 3​% of her​ investment, she had $ 53,350. What was Mrs.​ Fisher's original​ investment?

Question:

word problem


Answers

$55.000...

Explanation:

If she lost 3%, then 97% of the original remains.

Ergo, 1% = #53.350/97 = 550#

Multiply by 100 (for 100%) and you'll find $55.000

.

See a solution process below:

Explanation:

If Mrs. Fisher lost 3% of her investment she still has 97% of her investment left: #100% - 3% = 97%#

We can then rewrite the problem as:

$53,350 is 97% of what?

"Percent" or "%" means "out of 100" or "per 100", Therefore 97% can be written as #97/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call Mrs. Fisher's investment we are looking for "f".

Putting this altogether we can write this equation and solve for #f# while keeping the equation balanced:

#$53350 = 97/100 xx f#

#color(red)(100)/color(blue)(97) xx $53350 = color(red)(100)/color(blue)(97) xx 97/100 xx f#

#($5335000)/color(blue)(97) = cancel(color(red)(100))/cancel(color(blue)(97)) xx color(blue)(cancel(color(black)(97)))/color(red)(cancel(color(black)(100))) xx f#

#$55000 = f#

#f = $55000#

Mrs. Fishers original investment was $55,000

.

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