F.2 ratio

sol
1. to mixing a & b,
mixture a =3/7
mixture b=4/7
litres of mixture is produced
=1.5/(3/7)
=1.5*7/3
=4.5L
2.
(x+2):x=3:2
(x+2)/x=3/2
2(x+2)=3x
2x+4=3x
x=4
3.
y:5=(y-6):3
y/5=(y-6)/3
3y=5(y-6)
3y=5y-30
-2y=-30
y=15
4.
The ratio of Angela's,amy's &Alice's
=1*2:3*2:3*1
=2:6:3

angela get 2/11*550=100g
amy get 6/11*550=300g
alice get 3/11*550=150g

1. A mixture is obtained by mixing A and B in the ratio 3:4 by volume.If 1.5L of A is used to produce the mixture, how many litres of mixture is produced?

Let the volume of B is used to produce the mixture be x

3:4=1.5:x
3/4=1.5/x
3x =6
x =2

The volume of B is used to produce the mixture is 2.
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2.
(x+2):x = 3:2
(x+2)/x =3/2
2(x+2) =3x
2x+4 =3x
4=x


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3.
y:5=(y-6):3
y/5=(y-6)/3
3y =5(y-6)
3y =5y-30
30=2y
15=y
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4.Amy ,Alice and Angela share a bar of 550g chocolate. The ratio of amy's share to Alice's is 2:1. The ratio of Amy's share to Angela's is3:1.How many grams of chocolate does each of them get?

The ratio of Amy ,Alice and Angela share,

Alice : Amy : Angela
1 : 2
3: 1
_____________________
3 : 6 : 2

Alice get
550*(3/3+6+2)
=550*3/11
=150(g)

Amy get
550*(6/11)
=300(g)

Angela get
550*(2/11)
=100(g)

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P.S. 150+300+100=550 so the ans. is correct