How many kilograms of butter of rs 140 per kg must be mixed with 20 kg of butter worth rs 150 per kg to produce a mixture worth rs 144 per kg. explain this

Let x kg of butter @Rs140/kg be added to 20kg of butter @Rs 150/kg

total price = 140×x + 150×20 = 140x + 3000

after mixing, (x+20) kg of butter is produced @Rs144/kg 

144×(x+20) = 140x+3000

⇒144x + 144×20 = 140x + 3000

⇒ 144x - 140x = 3000 - 144×20

⇒ 4x = 3000-2880 = 120

⇒ x = 120/4 = 30kg

So required answer is 30

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}