Question: Candace is trying to decide whether to wear her old shoes or new high-tech shoes for a hike. The high-tech shoes will help Candace walk twice as fast, but they're not broken in yet, so she'll get 1 blister after every 2 hours she spends walking in them. Each blister slows Candance down by 2 miles per hour. If Candance walks 6 miles per hour in the old shoes and plans to hike for 4 hours, how many miles per hour can she go in the new shoes?
Answer: Step-by-step reasoning process: Wearing the high - tech shoes, Candace can hike 6 mph * 2 = 12 mph for the first two hours. Then she gets one blister, so her speed drops to 12 mph - 2 mph = 10 mph for the next two hours of the hike. After that time Candace gets another blister, but 2 hours + 2 hours = 4 hours, so the hike is over and we don't care about her speed anymore. Candace spends an equal amount of time walking at 12 mph and 10 mph, so we can average the two speeds to find an overall speed of (12 mph + 10 mph) / 2 = 11 mph.
So the answer is 11.

Question: In a 100-item exam, Lowella got 35% of the questions correctly. Pamela got 20% more correct answers than Lowella and Mandy got twice Pamela's score. What is Mandy’s score?
Answer: Step-by-step reasoning process: Lowella got 100 x 35 / 100 = 35 correct answers. Pamela got 35 x 20 / 100 = 7 more correct answers than Lowella. So, Pamela got 35 + 7 = 42 correct answers. Thus, Mandy got 42 x 2 = 84 correct answers.
So the answer is 84.

Question: John goes to the store and pays with a 20 dollar bill. He buys 3 sodas and gets $14 in change. How much did each soda cost?
Answer: Step-by-step reasoning process: He paid 20 - 14 = $6. So each soda cost 6 / 3 = $2.
So the answer is 2.

Question: Archie holds the school record for most touchdown passes with 89 in a season of 16 games. Richard is close to breaking the record, having averaged 6 touchdowns a game in the first 14 games. How many touchdowns per game must he average in the final two games to beat Archie's record?
Answer:
Step-by-step reasoning process: Richard has scored 84 touchdowns because 14 x 6 = 84. To beat the record he must score 90 touchdowns because 89 + 1 = 90. He needs 6 more touchdowns to beat the record because 90 - 84 = 6. He has two games left because 16 - 14 = 2. He needs to average 3 touchdowns a game to beat the record because 6 / 2 = 3.
So the answer is 3.