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

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) (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.

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 , and .
Substitute into the Equal Revenue equation, and then simplify, gives
.

Revised system of equations just in A and B can be
--------Solve the system.
RELATED QUESTIONS
A and B have Rs.39 between them, but if A were to lose two third of his money, and B... (answered by josgarithmetic)

A company sells widgets. When they price them at $30 each they can sell at $140 per day. (answered by Boreal)

A and B are two persons travelling from two towns towards Each other along a road at the... (answered by greenestamps)

Please solve this question : two persons A and B together can do work in 10 days. the... (answered by richwmiller)

A and B have $ 18,000 between them. If A spends 1/3 of his share, and B spends 1/4 of (answered by richwmiller)

At the same time, but different speed, Mark and Nancy left (driving) from different... (answered by ankor@dixie-net.com,josmiceli)

Question 1: A work word problem If Adam and Beth would paint the room together, they... (answered by ankor@dixie-net.com)

11. A group of 5 boys took their girlfriends with them to a seaside picnic right after... (answered by ikleyn)

A rental company charges $30 a day and 15 cents per mile for renting a car. Let y be the... (answered by stanbon)