Question

The ratio of pigs to cows to sheep on the farm is 2:4:7. There are 65 more sheep than pigs. How many cows are there on the farm?

Answer 1

Answer:

So we know that for every 2 pigs, there are 4 cows and 7 sheep.

Given that there are 65 more sheep than pigs, we can say the following:

s = sheep

p = pigs

c = cows

s = p + 65

7p = 2s

7c = 4s

4p = 2c

7p = 2(p+65)

5p = 130

p = 26

s = p + 65 = 26 + 65 = 91

7c = 4s

7c = 4 * 91

c = 4 * 91/7 = 52 cows