After the raise he earns 40 * 1.05 = 42 dollars an hour. He works 8 hours per day so earns 42 * 8 = 336 per day. He works 5 days per week so he earns 336 * 5 = 1680 a week. His expenses after adding the personal trainer are 600 + 100 = 700 a week. So he has 1680 - 700 = 980 left over.
The answer: 980
Reverse engineering the question: Mark got a 5% raise at his job. Before the raise, he earned 40 dollars per hour. He works 8 hours per day for 5 days per week. His old bills used to be 600 dollars a week but he decided to add a hundred dollar a week personal trainer. How much does he have leftover a week?
Reasoning and answer: Rebecca will make 30 * 4 = $120 from haircuts today. She will make 60 * 2 = $120 from dye jobs. She will spend 10 * 2 = $20 on hair dye. With the $40 perm and tips, at the end of the day, Rebecca will have 120 + 120 + 40 - 20 + 50 = $310.
The answer: 310
What was the question?
Question: Rebecca runs a hair salon. She charges $30 for haircuts, $40 for perms, and $60 for dye jobs, but she has to buy a box of hair dye for $10 to dye every head of hair. Today, she has four haircuts, one perm, and two dye jobs scheduled. If she makes $50 in tips, how much money will she have in dollars at the end of the day?
After losing 57 legos, Nellie has 380 - 57 = 323 legos. After giving her sister 24 legos Nellie has 323 - 24 = 299 legos.
The answer: 299
Reverse engineering the question: Nellie had 380 legos, but she lost 57 of them and gave her sister 24 legos. How many legos does she have now?
Reasoning and answer: Grayson = 61 + 2 = 63 inches. Gracie = 63 - 7 = 56 inches. Gracie is 56 inches tall.
The answer: 56
What was the question?
Question: Gracie was 7 inches shorter than Grayson. Grayson was 2 inches taller than Griffin. Griffin is 61 inches tall. How many inches tall is Gracie?
The bag full of sand would weigh 250 * .8 = 200 pounds. The filling material would make it 200 * .4 = 80 pounds heavier. So it weighs 200 + 80 = 280 pounds.
The answer: 280
Reverse engineering the question: Tom fills a 250 pound sandbag 80% full. But the filling material he is using is 40% heavier than sand. How much does the bag weigh?
Two boxes of crayons have 24 x 5 / 8 = 15 unused crayons from each box. So, a total of 15 x 2 = 30 unused crayons are in the two boxes. For the other 2 boxes, there are 24 x 2 / 3 = 16 used crayons from each box. Hence, there are 24 - 16 = 8 unused crayons. So, a total of 8 x 2 = 16 unused crayons are in the other two boxes. Therefore, Madeline has a total of 30 + 16 + 24 = 70 unused crayons.
The answer: 70
Reverse engineering the question:
Madeline has 5 boxes with 24 crayons in each. She noticed that 5/8 of the crayons in the 2 boxes were not yet used. In the 2 other boxes, only 2/3 of the crayons were used while the last box was not entirely used. How many unused crayons did Madeline have?