A and b rent a pasture for 10 months
Asked by admin @ in Math viewed by 248 People
A and b rent a pasture for 10 months. A puts in 100 cows for 8 months .How many cows can b put in for the remaining 2 months ,if he pays 3/2 as much as a
Answered by admin @
Answer:
600 cows
Step-by-step explanation:
From the statement 3/2 times as much as a it means :
B = 3/2A
Let the amount paid by A be t then the amount paid by B is :
B = 3/2t
The ratio of price paid by A to B is :
t/(3/2t) = 2/3 = 2 : 3
The ratio of the prices A : B = 2:3
We have the specifications for A:
Cows = 100
Months = 8 months
Cow months = 100 × 8 = 800
Let the number of cows that B has be x then:.
Cow months = x × 2 = 2x
The ratio of the Cow months is :
800 : 2x
This ratio is equal to the ratio of the prices.
Therefore :
800/2x = 2/3
3(800) = 2(2x)
2400 = 4x
x = 2400/4
x = 600
Therefore B puts 600 cows.
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