Question: Javier is an Olympic javelin thrower. In the last Olympics, he threw the javelin three times. The first throw, he threw the javelin twice as far as he threw the javelin on his second throw, but only half as far as he threw it the third throw. If the sum of all three throws was 1050 meters, then how far, in meters, did he throw the javelin on his first throw?
Answer: Let x be the distance he threw the javelin on the first throw. Thus, the sum of his three throws is x + 0.5x + 2x = 1050 meters. Thus, 3.5x = 1050. And we find the distance he threw the javelin on the first throw is x = 300 meters. The answer is 300.
[Question]Kyle bought 2 glass bottles that can hold 15 origami stars each. He then bought another 3 identical glass bottles. How many stars must Kyle make to fill all the glass bottles he bought?
[Answer]Kyle has 2 + 3 = 5 glass bottles. He needs to make 15 x 5 = 75 origami stars. The answer is 75.
Q: Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?
A: Roger rode for 2 miles in the morning, and then 5 times that in the evening for 5 * 2 = 10 miles ridden in the evening. In total, that means Roger rode 2 + 10 = 12 miles over the course of the day. The answer is 12.
Question: Mary has 26 blue shirts and 36 brown shirts. If she gives away half of her blue shirts and a third of her brown shirts, how many shirts does she have left?
Answer: Mary gives away 26 / 2 = 13 blue shirts. Mary gives away 36 / 3 = 12 brown shirts. Mary has 26 - 13 = 13 blue shirts left. Mary has 36 - 12 = 24 brown shirts left. Mary has 13 + 24 = 37 shirts left. The answer is 37.
[Question]Annie is trying to figure out whether it's safe to drive her truck. For every 3 degrees the temperature drops below 32 degrees, Annie's chances of skidding on ice increase 5%. If she goes into a skid, she has a 40% of regaining control. Otherwise, she'll have a serious accident. If the temperature is 8 degrees, what is the percentage chance of Annie getting into a serious accident if she drives?
[Answer]First find how many degrees below 32 the temperature is: 32 degrees - 8 degrees = 24 degrees. Then divide that amount by the number of degrees per 5% increase in skid risk to find how many 5% increases there are: 24 degrees / 3 degrees / 5% increase = 8 5% increases. Multiply the number of increases by 5% to find the total increase in skid risk: 8 * 5% = 40%. Now find the chance that Annie has a serious accident if she goes into a skid by subtracting the chance she regains control from 100%: 100% - 40% = 60%. Finally, multiply the chance of going into a skid by the chance of having a serious accident after a skid to find the total risk of a serious accident: 60% * 40% = 24%. The answer is 24.
[Question]Janice opened an art book that she had found in the library and found 5 drawings on the first page. After opening the first ten pages, she realized that the number of drawings on each page increased by five after every page. How many drawings were in the first five pages?
[Answer]
If the first page had 5 drawings, and the number of drawings on each page increased by five, the second page had 5 + 5 = 10. The total number of drawings in the first 2 pages is 5 + 10 = 15. On the third page, the number of drawings increased to 10 + 5 = 15. The first three pages have a total of 15 + 15 = 30 drawings. The fourth page had 15 + 5 = 20 drawings. There are 30 + 20 = 50 drawings on the first four pages. The fifth page also had an extra 5 more drawings than the fourth page, totaling 20 + 5 = 25. For the first five pages, Janice saw 25 + 50 = 75 pages. The answer is 75.