Cows and Oxen Cost

John spent $1705 on cows and oxen. Cows cost $40 and oxen cost $75 each. He bought twice as many cows as oxen. How many of each did he buy?


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Let x be the number of oxen purchased.

Then 75x + 40(2x) = 1705; 75x + 80x = 1705; x = 11.

So 11 oxen, 22 cows.

Check: 11(75) + 22(40) = 825 + 880 = 1705.

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