Two farmers bought a total of 230 cows and a year later found out that the first farmer had 10% more cows than in the beginning, whereas the second had 20% increase. The total number of cows at the end of the observed period was 263. How many cows did each have in the beginning?

Respuesta :

In the beginning, they have 50 and 180 cows respectively.

How to find the total number of cows?

The two farmers bought  a total of 230 cows .

A year later the first farmer had 10% more cows than in the beginning.

Therefore,

let

x = number of cow he has initially.

A year later the percentage increase = 0.1x

whereas the second had 20% increase. Therefore,

let

y = number of cow he has initially.

A year later percentage increase = 0.2y

Hence,

x + y = 230

1.1x + 1.2y = 263

1.1x + 1.1y = 253

1.1x + 1.2y = 263

0.2y = 10

y = 10 / 0.2

y = 50

x = 230 - 50

x = 180

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