While practising for his upcoming math exams, Hayes realised that the area of a circle he had just solved was equal to the perimeter of a square he had solved in the previous problem. If the area of the circle was 100, what's the length of one side of the square? Give the rationale and then the answer.
Let's think step by step. Let's say the side of a square is s.To get the perimeter of a square, you add all the sides, which is s + s + s + s = 100. Therefore, 4s = 100. Therefore one side of the square is s = 100 / 4 = 25.. The answer is: 25.

John manages to run 15 mph for his whole 5-mile race. The next fastest guy ran the race in 23 minutes. How many minutes did he win the race by? Give the rationale and then the answer.
Let's think step by step. He runs the race in 5 / 15 = 1 / 3 of an hour. So he runs the race in 60 / 3 = 20 minutes. That means he beat the next fastest guy by 23 - 20 = 3 minutes.. The answer is: 3.

School coaches bought sports equipment. Coach A bought ten new basketballs for $29 each, while coach B bought 14 new baseballs for $2.50 each and a baseball bat for $18. How much more did coach A spend than coach B? Give the rationale and then the answer.
Let's think step by step. Coach A spent $29x 10 = $290 for the 10 basketballs. Coach B spent $2.50x14 = $35 for the 14 baseballs. So, Coach B spent a total of $35 + $18 = $53 for the baseballs and a bat. Thus, Coach A spent $290 - $53 = $237 more than coach B.. The answer is: 237.