If a rectangle has a width of 42 inches and an area of 1638, how many rectangles of the same size would reach a length of 390 inches?
The rectangle has a length of 1638 in/ 42in =
<<1638/42=39>>39 in. The number of rectangles required to reach 390 inches is 390/39 = <<390/39=10>>10 rectangles. #### 10 A camping site recorded a total of 150 campers for the past three weeks. Two weeks ago, there were 40 campers which was 10 more than the number of campers three weeks ago. How many campers were there last week? Three weeks ago, there were 40 - 10 = <<40-10=30>>30 campers. The total number of campers from three to two weeks ago is 30 + 40 = <<30+40=70>>70. Hence, there were 150 - 70 = <<150-70=80>>80 campers last week. #### 80 George had $100. He bought a shirt for $24 and he also bought a pair of socks. Then he had $65 left. How much is a pair of socks? George had $100 - $24 = $<<100-24=76>>76 left after buying a shirt. Since he has $65 left after buying a pair of socks, then a pair of socks costs $76 - $65 = $<<76-65=11>>11. #### 11 Brian loves watching animal videos online. He watches a 4-minute video of cats. He then watches a video twice as long as the cat video involving dogs. He finishes up his video watching for the day by watching a video on gorillas that's twice as long as the previous two videos combined. How many minutes does Brian spend watching animal videos? Brian begins by watching a 4-minute video, and since the second video is twice as long that means the second video is 4*2= <<4*2=8>>8 minutes. The first two videos combined therefore for a 4+8=<<4+8=12>>12 minute run time. Since the third video is twice as long as the first two videos put together, that means it is 12*2=<<12*2=24>>24 minutes in length. The total length of time spent is therefore 24+12= <<24+12=36>>36 minutes #### 36 Carl has a goal of selling 96 cupcakes in 2 days. Carl needs to give 24 cupcakes to Bonnie as payment for using her storefront. How many cupcakes must Carl sell per day to reach his goal? Carl needs to sell 96 cupcakes + 24 cupcakes = <<96+24=120>>120 cupcakes total. Each day Carl needs to sell 120 cupcakes / 2 days = <<120/2=60>>60 cupcakes to reach his goal. #### 60 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? Rebecca will make 30 * 4 = $<<30*4=120>>120 from haircuts today. She will make 60 * 2 = $<<60*2=120>>120 from dye jobs. She will spend 10 * 2 = $<<10*2=20>>20 on hair dye. With the $40 perm and tips, at the end of the day, Rebecca will have 120 + 120 + 40 - 20 + 50 = $<<120+120+40-20+50=310>>310. #### 310 John sends his son to prep school. It cost $20,000 per semester. There are 2 semesters in the year. How much does it cost to send the kid to 13 years of school? It cost 20000*2=$<<20000*2=40000>>40,000 a year So it cost 40,000*13=$<<40000*13=520000>>520,000 #### 520,000 There are 200 snakes in a park. There are three times as many pythons as boa constrictors. If there 40 boa constrictors and the rest of the snakes are rattlesnakes, calculate the total number of rattlesnakes in the park. If the number of pythons is three times the number of boa constrictors, then there are 3*40 = <<3*40=120>>120 pythons Together, the number of pythons and boa constrictors is 120+40 = <<120+40=160>>160 If there are 200 snakes in the park, the number of rattlesnakes is 200-160 = <<200-160=40>>40 #### 40 The ratio representing the age of Halima, Beckham, and Michelle is 4:3:7, respectively. If the total age for the three siblings is 126, calculate the age difference between Halima and Beckham. The total ratio representing the age of the three siblings is 4+3+7 = <<4+3+7=14>>14 Halima's age is represented by the fraction 4/14, which means she is 4/14*126 = 36 years old. Beckhams age, from the total age of the three, is 3/14*126 = <<3/14*126=27>>27 The difference in age between Halima and Beckham is 36-27 = <<36-27=9>>9 #### 9 In a store, an Uno Giant Family Card costs $12. When Ivan bought ten pieces, he was given a discount of $2 each. How much did Ivan pay in all? Instead of $12 each, an Uno Giant Family Card costs $12 - $2 = $<<12-2=10>>10 each. Ivan paid $10 x 10 = $<<10*10=100>>100 for the ten pieces Uno Giant Family Card. #### 100