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fenix001 [56]
3 years ago
8

One-sixth of a certain number is four more

Mathematics
2 answers:
Vadim26 [7]3 years ago
6 0

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

\frac{a}{6}  - \frac{a}{12} = 4

Find the LCM

\frac{2a-a}{12} = 4\\\frac{a}{12} = 4

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

Learn more on equations here: brainly.com/question/14034270

Fofino [41]3 years ago
6 0

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

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The point A(5, -2) has been transformed to A'(-5, 2). The transformation is described as ______.
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3 years ago
One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord
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X=amount of canned juice with 25% of orange juice
y=amount of other canned juice with 10% of orange juice.
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10%=10/100=1/10
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We can suggest this system of equations:
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(2)    (x/4+y/10) / (x+y)=17/100  ⇒100(x/4 + y/10)=17(x+y)  ⇒25x+10y=17x+17y  ⇒8x-7y=0

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8 0
3 years ago
How many times can 24 go into 48
zysi [14]
48 ÷ 24 = 2
24 goes into 48 2 times.
6 0
4 years ago
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