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mrs_skeptik [129]
2 years ago
15

Ajay has a piggy bank which has one-rupee and two-ruppe coins. The number of 2 rupee coins is twice the number of 1 rupee coins.

the total amount of money in the piggy bank is 30 rupees. How many 1 rupee and 2 rupee coins are there in the piggy bank?
Mathematics
2 answers:
slava [35]2 years ago
7 0
Let number of one rupee coins be x
Let number of two rupee coins be 2x

=> 2x+x=30
=>3x=30
=> x = 10

Hence , number of one rupee coints are x = 10

Number of 2 rupee coins are 2x = 2(10) = 20

Hope this helps you dear:)
Have a good day!
drek231 [11]2 years ago
3 0

Answer:

6 one rupee and 12 two rupee coins.

Step-by-step explanation:

If the number of rupee coins is x then the number of 2 rupee coins is 2x.

x +  2*2x = 30

5x = 30

x = 6.

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The perimeter of a rectangle is 30.8 km and it’s diagonal length is 11 km. Find it’s length and width
blsea [12.9K]

Answer:

Length of the rectangle is 15.0325 km and width is 0.3765 km.

Explanation:

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Perimeter of a rectangle = 30.8 km

Length of diagonal of rectangle = 11 km

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The length and width of rectangle=?

Solution:

Lets assume length of the rectangle = x km

And assume width of the rectangle = y km

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On substituting value of y from (1) in above equation we get

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General form of quadratic equation is  

ax^2 +bx +c = 0

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As equation is 2x^2-30.8x + 116.16 = 0, in our case

a = 2 ,  b = -30.8 and c = 116.16

Calculating roots of the equation we get

x=\frac{ -(-30.8)\pm\sqrt{(-30.8)^2-4(2)( 11)} } {(2\times2)}

x=\frac{30.8\pm\sqrt{(948.64-88)}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

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As generally length is longer one ,  

So x = 1.0325

From equation (1) y = 15.4 – x = 0.3765

Hence length of the rectangle is 15.0325 km and width is 0.3765 km.

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