Paul has twice as many brothers as sisters. His sister Mary has five times as many brothers as sisters. How many sons and daughters do their parents have?

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- April 28th 2007, 04:39 PMjumpman23find number of people
Paul has twice as many brothers as sisters. His sister Mary has five times as many brothers as sisters. How many sons and daughters do their parents have?

- April 28th 2007, 05:01 PMSoroban
Hello, jumpman23!

Quote:

Paul has twice as many brothers as sisters.

His sister Mary has five times as many brothers as sisters.

How many sons and daughters do their parents have?

Let B = number of boys.

Let G = number of girls.

Paul has B-1 brothers and G sisters.

. . We are told that: .B - 1 .= .2G

Mary has B brothers and G-1 sisters.

. . We are told that: .B .= .5(G - 1)

Solve the system of equations: .B = 5, S = 2

Answer: .5 sons, 2 daughters