a is twice as much as b. c is twice as much as a. a, b, c total £10.50. wHAT IS THE VALUE OF EACH?

Answer 1

Ratio

A: B : C
2X : X : 4X

therefore: 7X = 10.50
X = 1.50

A = 2X = 3.00
B = X = 1.50
C = 4X = 6.00

Total: 10.50

Answer 2

Write out the first three sentences as equations:

a = 2b
c = 2a
a+b+c = 10.50

Notice that you have "a" in all three equations. So you can rewrite the first as b = a/2, and now you have both b and c in terms of a. Substitute these two values into the third equation:

a + b + c = 10.50
a + (a/2) + (2a) = 10.50

Now solve this for "a":

a + (a/2) + (2a) = 10.50
a*(1 + 1/2 + 2) = 10.50
a*(2/2 + 1/2 + 4/2) = 10.50
a*(7/2) = 10.50
a = 10.50*2/7 = 21/7 = 3

Now that you know "a", plug it into the original first equation to find b, and the original second equation to find c.

Answer 3

a = 2b ; c = 2a
a + b + c = 1050
a + a/2 + 2a = 1050
3.5 a = 1050
a = 300
Thus b = 150 and c = 600
Check:- 300 + 150 + 600 = 1050
a = £3 , b = £1.50 and c = £6

Answer 4

a = 2b and c = 2a = 4b.
b + 2b + 4b = 7b = £10.5
b = £10.5 ÷ 7 = £1.5
Therefore, b = £1.5 a = £3 and c = £6, which add to £10.5.

Answer 5

a=2b
c=2a
Therefore a+b+c= 2b+b+4b=7b=10.50

Therefore b=10.50/7= 1.50
Therefore a= 2x1,50=3.00
Therefore c=2x3.00=6.00

Answer 6

a=3 b=1.5 c=6

Answer 7

a=3 b=1.5 c=6

Answer 8

a=2b

c=2a

given a+b+c=10.50...............1 st equation
putting a=2b and c=2a

2b+2a+b=10.50.............2nd equation

subtracting 1 and 2 equation

we are left a+c=0................3 rd equation

so putting 3rd in 1st
b=10.50
a=0
c=0

Answer 9

A + B+ C = £10.50
A =2B
c=2A=4B

2B+B+4B=7B=£10.50

A=£3.00
B=£1.50
C=£6.00

Answer 10

a=3, b=1.5, c=6 QED