[Question]Xena is trying to outrun a dragon to get to the safety of a cave it's too big to fit into. Xena has a 600 foot head start, but the dragon can burn her if it gets within 120 feet of her. If Xena runs 15 feet per second and the dragon flies 30 feet per second, how many seconds does Xena have to get to the cave?
[Answer]First find the size of the gap the dragon needs to close to burn Xena: 600 ft - 120 ft = 480 ft. Then find how many feet closer the dragon gets each second by subtracting Xena's speed from the dragon's speed: 30 ft / sec - 15 ft / sec = 15 ft / sec. Then divide the distance by the speed difference to find how many seconds it takes for the dragon to get close enough to burn Xena: 480 ft / 15 ft / sec = 32 sec. The answer is 32.
Q: A trader has 55 bags of rice in stock. She sells off some bags of rice and restocks 132 bags of rice. How many bags of rice did she sell if she now has 164 bags of rice?
A: She had 55 bags and restocked 132 after selling some, so if she had not sold any, she would have a total of 55 + 132 = 187 bags. However she now has 164 bags, so she must have sold off 187 - 164 = 23 bags. The answer is 23.
Question: Thomas wants to throw a party for his best friend Casey. He needs to order enough chairs for all the party guests to sit in, one for each guest. First he orders 3 dozen chairs for 3 dozen guests he invites. Then he finds out that 1/3 of the guests want to bring a guest of their own, so Thomas needs to order more chairs. Eventually, Thomas finds out that 5 of the guests he originally invited can't make it. Thomas would also like to order 12 extra chairs just in case they need them. How many chairs is Thomas going to order for Casey's party?
Answer: Thomas originally orders chairs for 3 dozen guests, 12 x 3 = 36 guests. Thomas finds out that 1 / 3 of the guests want to bring a guest of their own, 1 / 3 of 36 = 12. The 12 guests bring a guest of their own each, 36 guests + 12 guests = 48. Thomas finds out that 20 of the guests can't make it, 48 guests - 5 guests = 43. Thomas wants to order an extra 12 chairs, 43 + 12 = 55. Thomas will need 55 chairs for the party. The answer is 55.
[Question]Rachel earned $200 babysitting. She spent 1/4 of the money on lunch. She spent 1/2 of the money on a DVD. How much did Rachel have left?
[Answer]Rachel spent 1 / 4 * 200 = $50 on lunch. Rachel spent 1 / 2 * 200 = $100 on a DVD. Rachel has 200 - 50 - 100 = $50 left. The answer is 50.
Q: Cindy and Olaf made 15 candied apples which they will be selling for $2 each, and 12 candied grapes which they will be selling for $1.5. How much will they earn if they sell everything?
A: They will earn 15 x $2 = $30 for the candied apples. They will earn 12 x $1.5 = $18 for the candied grapes. Therefore, Cindy and Olaf will earn $30 + $18 = $48 if they sell everything. The answer is 48.
Question: Compared to the amount of water she drank, Carla drank three times as much soda minus 6 ounces. If she drank 54 ounces of liquid total, how much water did she drink?
Answer:
Let s be the amount of soda Carla drank and w be the amount of water she drank. We know that s + w = 54 and s = 3w - 6. Substituting the second equation into the first, we get 3w - 6 + w = 54. Combining like terms, we get 4w - 6 = 54. Adding 6 to both sides, we get 4w = 60. Dividing both sides by 4, we get w = 15. The answer is 15.