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question:f John's dog has a litter of 8 puppies and he gives away half of them, keeps one for himself, and sells the rest for 600 each, and he also has to pay the owner of the stud 300, what is the total amount of profit John makes?
answer:John starts with 8 puppies and gives away half of them, which is 8/2 = 4 puppies. He keeps one for himself, so he has 8 - 4 - 1 = 3 puppies left to sell. He sells each of these puppies for 600, so he makes 3 * 600 = 1800 from the sales. He also has to pay the owner of the stud 300, so his total expenses are 300. To calculate his profit, we subtract his expenses from his earnings, which is 1800 - 300 = 1500. 1500 The answer is: 1500
question:Determine the greatest common divisor of 1407 and 903.
answer:We can use the Euclidean algorithm to find the greatest common divisor (GCD) of 1407 and 903. begin{align*} text{gcd}(1407, 903) &= text{gcd}(903, 1407 - 903) &= text{gcd}(903, 504) &= text{gcd}(504, 903 - 504) &= text{gcd}(504, 399) &= text{gcd}(399, 504 - 399) &= text{gcd}(399, 105) &= text{gcd}(105, 399 - 3(105)) &= text{gcd}(105, 84) &= text{gcd}(84, 105 - 84) &= text{gcd}(84, 21) &= text{gcd}(21, 84 - 4(21)) &= text{gcd}(21, 0) &= 21 end{align*} Therefore, the greatest common divisor of 1407 and 903 is boxed{21}.The answer is: 21
question:Russel and Jen went to the circus. Jen played a shooting game twice, while Russel rode the carousel three times. If the shooting game costs 5 tickets and the carousel costs 3 tickets. How many tickets did they use?
answer:Jen played the shooting game twice, so she used 5 tickets x 2 = 10 tickets. Russel rode the carousel three times, so he used 3 tickets x 3 = 9 tickets. Together, Russel and Jen used 10 tickets + 9 tickets = 19 tickets. 19 The answer is: 19
question:Determine the smallest integer that is greater than the square root of 300.
answer:We know that sqrt{300} is between sqrt{289}=17 and sqrt{324}=18. Therefore, the smallest integer that is greater than sqrt{300} is boxed{18}. The answer is: 18