SOLUTION: The number of cattle on a farm is 660. This is a 10% decrease in the number of cows, a 50% increase in the number of bulls, and an overall increase of 10% in the total number of ca

Question 1184830: The number of cattle on a farm is 660. This is a 10% decrease in the number of cows, a 50% increase in the number of bulls, and an overall increase of 10% in the total number of cattle from last year. How many cows and bulls were there each at the farm last year?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The total number of cattle, 660, is an increase of 10% over the total last year:

The total number of cattle last year was 600.

The total of 660 is an decrease in 10% of the number of cows and an increase of 50% in the number of bulls.

Let c and b be the numbers of cows and bulls last year. Then

(1) the total number of cattle last year was 600:

(2) the total number this year is 660:

Multiply (2) by 10 to get rid of the decimals

Multiply (1) by 9 to eliminate c:

ANSWERS: The number of bulls at the farm last year was b=200; the number of cows at the farm last year was 600-200=400.

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