1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RideAnS [48]
3 years ago
6

The ratio of the numerator to the denominator of a certain fraction is three to five. If two is added to the numerator and

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

The original fraction is  \frac{3}{5}

Step-by-step explanation:

Given as :

The ratio of numerator to denominator = 3 : 5

Let The numerator = 3 x

Let The denominator = 5 x

Again

If two is added to the numerator and  five is subtracted from the denominator, the new fraction reduces to four fifths.

So, \dfrac{3 x + 2}{5 x - 5} = \frac{4}{5}

Or, 5 × (3 x + 2) = 4 × (5 x - 5)

Or, 15 x + 10 = 20 x - 20

Or, 20 x - 15 x = 10 + 20

or, 5 x = 30

∴  x = \frac{30}{5}

i.e x = 6

So, The numerator = 3 × 6 = 18

And The denominator = 5 × 6 = 30

∴ Original fraction = \frac{numerator}{denominator}

Or, Original fraction = \frac{18}{30} = \frac{3}{5}

Hence, The original fraction is  \frac{3}{5}  Answer

You might be interested in
A student bought a book for $7.50 and a pen.the total cost was $9.50.which of the following can be used to find the cost of the
zloy xaker [14]
D: because if you take 9.50-7.50=2 you would get p=price or the price of the pen.
Hope I helped=)
6 0
3 years ago
Read 2 more answers
Need help with the answer please and thank you <br> NO LINKS!<br> Have a nice day
KIM [24]

Answer: 188+22x=518 (c)

Step-by-step explanation:

7 0
2 years ago
Cheddar Cheese
disa [49]

Complete question :

Cheddar Cheese

$3/lb

Swiss Cheese

$5/lb

Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Answer:

10 lbs of cheddar cheese

6 lbs of Swiss cheese

$3a + $5b = $30

Step-by-step explanation:

Given that :

Cheddar cheese = $3/lb

Swiss cheese = $5/lb

Total amount budgeted for cheese = $30

How many pounds of cheese can Keisha get if she buys only Cheddar cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of cheddar cheese

$30 / 3 = 10 pounds of cheedar cheese

Only Swiss cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of Swiss cheese

$30 / 5 = 6 pounds of Swiss cheese

A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Let amount of cheddar cheese she can get = a

Let amount of Swiss cheese she can get = b

Hence,

(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount

(3 * a) + (5 * b) = $30

$3a + $5b = $30

4 0
2 years ago
Reduce 20/60 to its lowest common denominator
Ulleksa [173]

Answer:

it is 1/4

Step-by-step explanation:

20/60=10/30=1/3

8 0
2 years ago
Read 2 more answers
Pls hlp!!<br> read the bottom and answer
luda_lava [24]

m=52h

52 is the miles/hour, and you’re going for 4 hours, which is 208 miles.

6 0
3 years ago
Read 2 more answers
Other questions:
  • 6. You've just received an order of silk flower arrangements from your wholesaler. You paid $20.00 each for them. Your store use
    12·1 answer
  • Please answer it now in two minutes
    11·2 answers
  • A store wants employees to start wearing uniforms to work. The plans to purchase the uniforms and hand out 5 uniforms to every e
    5·1 answer
  • O A. g(x) = 4x^2<br> O B. g(x)=2x^2<br> C. g(x)= 1/4^2<br> O D. g(x)= (1/4x)^2
    7·1 answer
  • Consider the game of rock-paper-scissors to be a random experiment. How many outcomes are in the sample space of this random exp
    5·1 answer
  • HELPPPPPPPPP ASAPPPPPPPP PLSSSS
    13·1 answer
  • Every six customer at flower shop receives a free rose in every ninth customer see is a free lily what customer will be the firs
    6·1 answer
  • State of each triangle is a right triangle
    15·1 answer
  • The movie screen at the cinema is 70 feet long and 30 feet wide. What is the perimeter of the screen? A 200 feet B 140 feet © 60
    12·1 answer
  • What is the domain of the given relation?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!