2 farmers A and B had 30 cows between them. They sold them at different prices but each received the same amount. If A had sold his cows at the price at which B had sold, he would have received Rs. 320 and if B had sold his cows at the price at which A had sold, he would have received Rs. 245. Find the number of cows each had
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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.
Step-by-step explanation:
hope it helps you
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