Q: Hattie and her friend Lorelei are doing a jumping contest using a jumping rope. Hattie does 180 jumps in the first round, while Lorelei jumps 3/4 as many times as Hattie jumped. In the second round, Lorelei does 50 more jumps than Hattie. If Hattie managed to jump 2/3 times the number of jumps she did in the first round, calculate the total number of jumps the two did in the two rounds.
A: In the first round, Lorelei did 3 / 4 * 180 jumps = 135 jumps. In the second round, Hattie did 2 / 3 * 180 jumps = 120 jumps, while. Lorelei did 120 jumps + 50 jumps = 170 jumps. The total number of jumps for the two in both rounds is 170 jumps + 120 jumps + 135 jumps + 180 jumps = 605 jumps. The answer is 605.

Q: Mark realizes that a lot of the friends on his friends list are people he doesn't talk to anymore. He keeps 40% of his friends list and then contacts the rest. Of those only 50% respond. He removes everyone who did not respond. If he had 100 friends how many does he have left after the removal?
A: He contacted 1 - .4 = .6 of his friends. So he contacted 100 * .6 = 60 people. So he removes 60 / 2 = 30 people. So he has 100 - 30 = 70 friends left. The answer is 70.

Q: Jessica is six years older than Claire. In two years, Claire will be 20 years old. How old is Jessica now?
A:
Claire's age now is 20 - 2 = 18 years old. Being 6 years older than Claire, Jessica is 18 + 6 = 24 years old. The answer is 24.