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Tutors Answer Your Questions about Numeric Fractions (FREE)
Question 42231: Question
The numerator of a fraction is 5 less than the denominator. If 1 is added to both the numerator and the denominator, the fraction would become 2/3. Find the fraction.
This is what I have done :-
Let the denominator to be n
n–5/n and now add 1 to both the numerator and the denominator
Therefore, n-5+1/n+1 = n-4/n+1=2/3
n-4 2
___ = _
n+1 3
3(n-4) = 2(n+1)
3n-12 = 2n+2
n=12+2
n=14
Now n=14, thus denominator is n+1= 14 + 1 = 15 while numerator = n-4 = 14-4 = 10
Therefore, numerator = 10 and denominator = 15 but my teacher told us is 9 and 36 respectively instead.
Please help. Thank you.
Click here to see answer by fractalier(1804)   |
Question 42574: At the beginning of a bicycle race for charity, Roberto and Juana are 30 mi. apart. If they leave at the same time and ride in the same direction, Roberto overtakes Juana in 6 hr. If they ride toward each other, they meet in 1 hr. What are their speeds
Click here to see answer by fractalier(1804) |
Question 43094: In a recipe for Swedish goulash you 1/2cup of sugar, 2/3 cup of flour, and 3/4 cup of butter. This recipe serves ten people. If we wish to serve 15 people how much of each ingredient will we need? How do I set this up and answer this problem?
Click here to see answer by stanbon(26268)  |
Question 43094: In a recipe for Swedish goulash you 1/2cup of sugar, 2/3 cup of flour, and 3/4 cup of butter. This recipe serves ten people. If we wish to serve 15 people how much of each ingredient will we need? How do I set this up and answer this problem?
Click here to see answer by ilana(236) |
Question 43094: In a recipe for Swedish goulash you 1/2cup of sugar, 2/3 cup of flour, and 3/4 cup of butter. This recipe serves ten people. If we wish to serve 15 people how much of each ingredient will we need? How do I set this up and answer this problem?
Click here to see answer by psbhowmick(456) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340
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