Need detailed workings
1) Given number 7. In one step you can multiply to 7 or erase any one number. Is it possible to get 77 with finite number of steps?
2)Solve the puzzle: R+OO+KKK+EEEE+RRRRR=ROKER, different letters are different numbers, so same letters-same numbers.
3)There are five pipes connected to the pool. Student Karim found for each pipe the ratio of the time it takes to fill the pool when only this pipe is open to the time it takes to fill the pool when all pipes except this one are open. For four of the five pipes Karim got the values 2, 3, 4, 5. What value did Karim get for the fifth pipe?
4) After the collector had accumulated a lot of coins, he decided to distribute them among 30 boxes. After distribution, it turned out that there were no more than 30 coins in each box. The thief, who found out about the coins in the boxes, decided to steal them. From time to time, he sneaks into a collector's house, picks out several boxes and takes the same amount of coins from each selected box. In what is the smallest number of home visits a thief will be able to take all the coins?
1) Given number 7. In one step you can multiply to 7 or erase any one number. Is it possible to get 77 with finite number of steps?
2)Solve the puzzle: R+OO+KKK+EEEE+RRRRR=ROKER, different letters are different numbers, so same letters-same numbers.
3)There are five pipes connected to the pool. Student Karim found for each pipe the ratio of the time it takes to fill the pool when only this pipe is open to the time it takes to fill the pool when all pipes except this one are open. For four of the five pipes Karim got the values 2, 3, 4, 5. What value did Karim get for the fifth pipe?
4) After the collector had accumulated a lot of coins, he decided to distribute them among 30 boxes. After distribution, it turned out that there were no more than 30 coins in each box. The thief, who found out about the coins in the boxes, decided to steal them. From time to time, he sneaks into a collector's house, picks out several boxes and takes the same amount of coins from each selected box. In what is the smallest number of home visits a thief will be able to take all the coins?