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3 years ago

How to reduce a ratio to lowest terms

2 answers:

7 0

It is usual to represent ratios in their simplest form so that we are not operating with large numbers. Reducing ratios to their simplest form is directly linked to equivalent fractions.

For example: On a farm there are 4 Bulls and 200 Cows. Write this as a ratio in its simplest form.

Bulls : Cows

4 : 200

If we halve the number of bulls then we must halve the number of cows so that the relationship between the bulls and cows stays constant. This gives us:

Bulls : Cows

2 : 100

Halving again gives us

1 : 50

So the ratio of Bulls to Cows equals 1 : 50. The ratio is now represented in its simplest form.

An example where we have 3 quantities.

On the farm there are 24 ducks, 36 geese and 48 hens.

Ratio of ducks : geese : hens

24 : 36 : 48

Dividing each quantity by 12 gives us

2 : 3 : 4

So the ratio of ducks to geese to hens equals 2 : 3 : 4 which is the simplest form since we can find no further common factor.

Masja [62]3 years ago

5 0

The other brainly user explains this well but to sum up you just have to find the great common factor or reduce step by step with the factor you see.

Hope this helps !

Photon

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to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

3 years ago

Please answer this, ILL MARK YOU THE BRAINLIEST

vova2212 [387]

Answer: the answer is (2,-4) if that's not the answer then can u post a full picture of the question

Step-by-step explanation:

4 0

2 years ago

A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil

Reptile [31]

Step-by-step explanation:

1 week = 7 days of 24 hours each = 7×24 = 168 hours.

the first team can do 1/700 of the total work per hour.

the second team can do 1/600 if the total work per hour.

if they work together, then 1/700 + 1/600 of the total work can be done per hour.

to add these 2 fractions we need to bring them to the same denominator. and that would be 4200 (LCM of 700 and 600).

1/700 + 1/600 = 6/4200 + 7/4200 = 13/4200

so, together, they can do 13/4200 if the total job in 1 hour.

how many hours will they need together to finish the job ?

well, how often does 13 fit into 4200 (as 4200/4200 is the complete job) ?

4200 / 13 = 323.0769231... hours

so, it will still take a little bit over 323 hours to clean all the streets.

but there are only 168 hours until the film crew starts.

so, no, there is not enough time.

4 0

2 years ago

What is the value represented by the digit 8 after 7,824 is divided by 10? help PLEASE 15 Point

8_murik_8 [283]

Answer: 80

Step-by-step explanation:

7824/10 = 782.4

The value represented by 8 is 80 or 8 tens.

7 0

3 years ago

Gaetano spent $37.80, including tax, on a pair of jeans. How much did the jeans cost if there was an 8% sales tax? And what is t

Galina-37 [17]

37.8*0.08=3.024
37.8-3.024=34.776
round to the nearest tenths place for currency
and the answer is $34.78

6 0

2 years ago