Cows and calves

There are 168 cows and calves in the cowshed. Cows are in nine stalls, and calves are in four stalls. The same count of cows is in every cow stall and three more in each calf stall than in a cow stall. What is the capacity of the stalls for cows and what for calves?

Correct answer:

k =  12
t =  15

Step-by-step explanation:


9k + 4t=168
t = 3+k

9·k + 4·t=168
t = 3+k

9k+4t = 168
k-t = -3

Row 2 - 1/9 · Row 1 → Row 2
9k+4t = 168
-1.44t = -21.67


t = -21.66666667/-1.44444444 = 15
k = 168-4t/9 = 168-4 · 15/9 = 12

k = 12
t = 15

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