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05.10.2019 •
Mathematics
The numerator of a fraction is 2 less than its denominator. when both numerator and denominator are increased by 3, the fraction is increased by 3/20. find the original fraction
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Ответ:
first numerator x-2
new denominator -- x+3
new numerator x+1
(x-2)/x + 3/20 = (x+1)/(x+3)
times 20x(x+3) , the LCD
20(x+3)(x+1) + 3x(x+3) = 20x(x+1)
expanding and simplifying gave me
x^2 + 3x - 40 = 0
(x-5)(x+8) = 0
x = 5 or x=-8
if x=5, the original fraction was 3/5
if x=-8 the original fraction was -10/-8 or 5/4
check for 3/5 , new fraction would be 6/8 or 3/4
3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4
but for 5/4, new fraction would be 8/7
5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7
BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5
So the original fraction would be 3/5 for sure, but
also the unsimplified fraction -10/-8
Ответ:
Ответ:
Step-by-step explanation:
KC=$1.50
L=$1.50
HD=$2.50
KC+L+HD= $1.50=$3+$2.50=$7