SOLUTION: Two persons A and B have 30 sheeps between them.They sell them at different price but each receives the same amount.If A had sold his at B's price,he could have received RS 3200 a

Algebra ->  Finance -> SOLUTION: Two persons A and B have 30 sheeps between them.They sell them at different price but each receives the same amount.If A had sold his at B's price,he could have received RS 3200 a      Log On


   

Question 1104261: Two persons A and B have 30 sheeps between them.They sell them at different price but each receives the same amount.If A had sold his at B's price,he could have received RS 3200 and If B had Sold his at A's price ,he would have received Rs 2450.How many Sheeps belonged to each?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
SHEEP   PRICE SELL   REVENUE    IF SWITCHED PRICES
A         a           Aa          Ab=3200
B         b           Bb          Ba=2450
30

As sold, Aa=Bb

The description analyzed and tabulated gives four unknown variables and four equations.

system%28A%2BB=30%2CAa=Bb%2CAb=3200%2CBa=2450%29 for sheep counts A and B, corresponding to how many each person had, and a and b, the prices at which each sold sheep.

Last two equations give b=3200%2FA, and a=2450%2FB.
Substitute into the Equal Revenue equation, and then simplify, gives
A%5E2=%2864%2F49%29B%5E2.

Revised system of equations just in A and B can be
system%28A%2BB=30%2CA%5E2=%2864%2F49%29B%5E2%29--------Solve the system.