Question

$1230 is shared among A, B and C such that A=$\frac{3}{4}$B and 5B=3C.

a) Find the ratio of A:B:C

b) How much will A and B get altogether

Answer 1

Answer:

a)  A : B: C = 9 : 12 : 20.

b)  Share of A and B together is = 506.4

Step-by-step explanation:

It is given that

A = (3/4)B

B = (4/3)A

C = (5/3)B = (5/3) (4/3) A = (20/9)A

A:B:C = A : (4/3)A : (20/9)A

Multiplying with 9 we get

A : B: C = 9 : 12 : 20.

(a) Ratio of A:B:C = 9 : 12 : 20

(b) A and B together share (9 + 12) * 1230 / (9 + 12 + 30)

= 21 * 1230/51

Share of A and B together is = 506.4

Answer 2

$1230 is shared among A, B and C such that A=$\frac{3}{4}$B and 5B=3C.

a) Find the ratio of A:B:C

How much will A and B get altogether

Let Say C share = 20x

then B Share = 20x ×3/5 = 12x

A share = 12x × 3/4 = 9x

total = 20x +12x + 9x = 41x

A : B : C ::: 9:12:20

A+ B = 9x + 12x = 21x

A + B share = (21x/41x) × 1230

= 21 × 30

=$630

A & B together will get $630