Harry wants to build a homemade helium balloon with his son, Kevin, so he and Kevin go to the store with $200. They buy a giant sheet to turn into a balloon for $42, a rope for $18, and a propane tank and burner for $14. They plan to use the rest of the money on helium. The helium is $1.50 per ounce. For every ounce they buy, the balloon can fly 113 feet higher. How many feet up can they fly the balloon?

They have $126 for helium because 200 - 42 - 18 - 14 =

<<200-42-18-14=126>>126. They can buy 84 ounces of helium because 126 / 1.5 = <<126/1.5=84>>84 They can fly 9,492 feet up because 84 x 113 = <<84*113=9492>>9,492 #### 9,492 John carves a giant marble rectangular prism 8 meters tall with a 2-meter square base. It has a density of 2700 kg per cubic meter. How much does it weigh? The marble statue has a volume of 2*2*8=<<2*2*8=32>>32 cubic meters So that means it has a weight of 2700*32=<<2700*32=86400>>86,400 kg #### 86,400 Vinny weighed 300 pounds then lost 20 pounds in the first month of his diet. He continued his diet but each month, he lost half as much weight as he had lost in the previous month. At the start of the fifth month of his diet, he worked harder to lose extra weight then decided to end his diet. If Vinny weighed 250.5 pounds at the end of his diet, how many pounds did he lose throughout the fifth month? In the second month, Vinny lost half as much as he had the first month, so he lost 20 pounds / 2 = <<20/2=10>>10 pounds. In the third month, he again lost half as much which was 10 pounds / 2 = <<10/2=5>>5 pounds. And in the fourth month, he lost 5 pounds / 2 = <<5/2=2.5>>2.5 pounds. So in total, Vinny lost 20 + 10 + 5 + 2.5 = <<20+10+5+2.5=37.5>>37.5 pounds in the first four months. Over his entire diet, he had lost 300 – 250.5 = <<300-250.5=49.5>>49.5 pounds. So in the fifth month, Vinny must have lost 49.5 pounds total loss – 37.5 pounds loss in the first four months = 12 pounds. #### 12 A jet travels 580 miles in 2 hours. At this rate, how far could the jet fly in 10 hours? In one hour the jet could travel 580 miles / 2 hours = <<580/2=290>>290 miles. In 10 hours the jet could fly 290 miles * 10 = <<290*10=2900>>2900 miles. #### 2900 A singer is planning on releasing 3 songs in a month. If he worked on one song for 10 hours a day, and each song took 10 days to be completed, calculate the total number of hours he took to complete the 3 songs. If he worked on a song for 10 hours a day, the total number of hours he takes to complete one song is 10*10 = <<10*10=100>>100 hours. If one song took 100 hours to complete, the total number of hours the three songs took to be completed is 3*100 = <<3*100=300>>300 hours #### 300 Alice had 10 dozens of watermelons. She sold 40% of it yesterday and 1/4 of the remaining today, How many watermelons are left to be sold tomorrow? Ten dozens of watermelons are equal to 10 x 12 = <<10*12=120>>120 watermelons. Yesterday, Alice sold 120 x 40/100 = <<120*40/100=48>>48 watermelons. So, there are only 120 - 48 = <<120-48=72>>72 watermelons left for today. Today, Alice sold 72 x 1/4 = <<72*1/4=18>>18 watermelons. Hence, 72 - 18 = <<72-18=54>>54 watermelons are left to be sold tomorrow. #### 54 A spaceship is traveling to another planet. The spaceship travels at a consistent speed its entire journey unless it is stopped for the crew’s break. After launch, the spaceship traveled for 10 hours then stopped for 3 hours. It then traveled for another 10 hours then stopped for 1 hour. After this, the spaceship would take an hour’s break after every 11 hours of traveling and maintained this routine until the end of its journey. If the entire journey took 3 days then how long, in hours, was the spaceship not moving? On the first day, the spaceship spent a total of 10 hours + 10 hours = <<10+10=20>>20 hours traveling. On the first day, the spaceship spent a total of 3 hours + 1 hour = <<3+1=4>>4 hours not moving. This is a total of 20 hours traveling + 4 hours not moving = <<20+4=24>>24 hours or 1 day. So the rest of the journey took place over 3 days journey – 1 first day = <<3-1=2>>2 days. This is the same as 2 days * 24 hours = <<2*24=48>>48 hours. In these 2 days, the spaceship’s time is split into 11 hours traveling + 1 hour break = <<11+1=12>>12 hour blocks. So in the last 2 days, the spaceship wasn't moving for a total of 48 hours / 12 hour blocks = <<48/12=4>>4 hours. Adding this to breaks from the first day shows that the spaceship was not moving for a total of 4 + 4 = <<4+4=8>>8 hours. #### 8 The number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did Ellis get than Orion? The total ratio representing the 500 cards is 11+9 = <<11+9=20>>20 The fraction of the total ratio that represents the number of cards that Ellis got is 11/20, and since there were 500 cards, Ellis got 11/20*500 = <<11/20*500=275>>275 If there were 500 cards, and Ellis received 275 cards, Orion received 500-275 = <<500-275=225>>225 cards The number of cards that Ellis received more than Orion is 275-225 = <<275-225=50>>50 cards. #### 50 Mrs. Finley's class has 24 students, and Mr. Johnson's class has 10 more than half the number in Mrs. Finley's class. How many students are in Mr. Johnson's class? Half the number in Mrs. Finley's class is 24/2=<<24/2=12>>12. Mr. Johnson has 12+10=<<12+10=22>>22 students. #### 22 Nick's cell phone was initially empty but was then charged for 45 minutes and has reached a 25% charge. How much longer must the cell phone be charged to reach 100% charge? The ratio between the time charged and the time to be charged is 100 / 25 = <<100/25=4>>4. To reach 100%, the cell must be charged for 45 minutes * 4 = <<45*4=180>>180 minutes. Subtracting the 45 minutes that Jimmy already used to charge the cell phone, there are still 180 - 45 =<<180-45=135>>135 minutes of charging time left. #### 135