Four farmers each had 10 cattle. Altogether there were 16 brown cows, 4 white cows and 20 black cows. Jason only had brown, Joe only had black, and Clare had 4 white. If Belinda had 6 brown and 4 black, what is the other colour of cow Clare had?
Question
Four farmers each had 10 cattle. Altogether there were 16 brown cows, 4 white cows and 20 black cows. Jason only had brown, Joe only had black, and Clare had 4 white. If Belinda had 6 brown and 4 black, what is the other colour of cow Clare had?
Solution
Clare had brown cows as her other color of cow. Here's how we know:
- We know that there are 40 cows in total (4 farmers each with 10 cows).
- We know that Jason only had brown cows and Joe only had black cows. Since each farmer has 10 cows, Jason had 10 brown cows and Joe had 10 black cows.
- We know that Belinda had 6 brown and 4 black cows.
- We know that Clare had 4 white cows.
So, if we subtract the number of cows that we know about from the total number of cows, we can figure out what other color of cow Clare had.
- Total number of cows: 40
- Minus Jason's brown cows: 40 - 10 = 30
- Minus Joe's black cows: 30 - 10 = 20
- Minus Belinda's cows: 20 - 10 = 10
- Minus Clare's white cows: 10 - 4 = 6
So, Clare must have had 6 more cows of another color. Since we know that all the black cows are accounted for (10 with Joe and 10 with Belinda), Clare's other 6 cows must be brown.
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