Hugo sells handmade key chains online. Yesterday, he made 6 keychains in 30 minutes. Hugo wants to make 9 keychains today. If Hugo works at the same rate today, how long will it take him to make the keychains?
Solution 1: It's a ratio of 6 to 30 which simplifies to a ratio of 1 to 5, so if we multiply nine from one to get 9 keychains we also have to multiply 9 tot he 5 and get 45 mins to make those keychains.
Solution 2: It can be solved intuitively by thinking if 6 keychains are finished in 30 mins, the time taken to do 9 is just that time plus half of that time taken so 15 + 30 = 45 mins