In a triangle with angles A, B, and C, A is 60 degrees, and B is two times as big as C. Calculate the angle of B.

Since the angles in a triangle adds up to 180, and A is 40 degrees, B and C have a total of 180-60 =

<<180-60=120>>120 degrees. Since B is two times bigger than C, the total of the angles of B and C is equal to 2C+C = 120 3C=120 The angle of C is C=120/3 C is <<40=40>>40 Since B is two times as big as C, B is 2*40 = 80 degrees. #### 80 There are 50 more pens than notebooks on Wesley's school library shelf. If there are 30 notebooks on the shelf, how many notebooks and pens, does he have altogether? If there are 30 notebooks on the shelf, there are 50+30 = <<30+50=80>>80 pens on the shelf. Altogether, Wesley has 80+30 = <<80+30=110>>110 notebooks and pens on the shelf. #### 110 20 birds migrate on a seasonal basis from one lake to another, searching for food. If they fly from lake Jim to lake Disney in one season, which is 50 miles apart, then the next season they fly from lake Disney to lake London, 60 miles apart, calculate the combined distance all of the birds have traveled in the two seasons. The birds' flying distance between Lake Jim through lake Disney to lake London is 50+60 = <<50+60=110>>110 miles. Since each bird flies the 110 miles distance while migrating, the combined distance they fly together is 110*20 = <<110*20=2200>>2200 miles. #### 2200 The sum of the ages of Jeremy, Sebastian and Sophia in three years is 150. Currently, Sebastian is 4 years older than Jeremy. If Jeremy's age is 40, calculate Sophia's age three years from now? The age of Jeremy three years from now will be 40+3 = <<40+3=43>>43 years Since Sebastian age is four years more than Jeremy's, Sebastian is currently 40+4 = 44 years. In three years, Sebastian will be 44+3 = <<44+3=47>>47 years old The total age of Jeremy and Sebastian in three years will be 47+43 = <<47+43=90>>90 If the total age of Jeremy, Sebastian and Sophia in three years is 150, then Sophia's age in three years will be 150-90 = <<150-90=60>>60 #### 60 Sonny received 45 boxes of cookies from his friend yesterday. He gave 12 to his brother, 9 to his sister, and he gave 7 to his cousin. How many boxes of cookies were left for him? Sonny gave 12 + 9 + 7 = <<12+9+7=28>>28 boxes of cookies. Therefore, he was left with 45 - 28 = <<45-28=17>>17 boxes of cookies. #### 17 Tom's rabbit can run at 25 miles per hour. His cat can run 20 miles per hour. The cat gets a 15-minute head start. In hours, how long will it take for the rabbit to catch up? The cat got a 15/60=<<15/60=.25>>.25 hour head start That means it ran 20*.25=<<20*.25=5>>5 miles The rabbit goes 25-20=<<25-20=5>>5 mph faster than the cat So it takes 5/5=<<5/5=1>>1 hour for the rabbit to catch up #### 1 Carl is hosting an open house for his new business. He knows 50 people will show up and hopes that another 40 people will randomly show up. He’s created 10 extravagant gift bags for the first 10 people who visit his shop. He’s made average gift bags for 20 people but needs to make enough for everyone who visits to have one. How many more bags does he need to make? He knows 50 people are showing up and he’s hoping 40 more people will drop in for a total of 50+40 = <<50+40=90>>90 people He’s made 10 extravagant gift bags and 20 average bags for a total of 10+20 = <<10+20=30>>30 bags He hopes 90 people will show up and has already made 30 bags so he needs to make 90-30 = <<90-30=60>>60 more gift bags #### 60 Maya loves to read books. Last week she read 5 books. Each book had 300 pages of text. This week she read twice as much. How many pages did Maya read in total? Last week Maya read 5 * 300 = <<5*300=1500>>1500 pages of text. This week she doubled the result, so she read 2 * 1500 = <<2*1500=3000>>3000 pages. In total Maya read 1500 + 3000 = <<1500+3000=4500>>4500 pages of text. #### 4500 Emma is 7 years old. If her sister is 9 years older than her, how old will Emma be when her sister is 56? Emma’s sister is 7 + 9 = <<7+9=16>>16 years old. In this many years, Emma’s sister will be 56 years old: 56 - 16 = <<56-16=40>>40 years. When her sister is 56 years old, Emma will be 7 + 40 = <<7+40=47>>47 years. #### 47 On their way driving to Los Angeles, Benjamin and James see lots of billboard ads. Curious, Benjamin starts to count how many they see. In the first hour once he starts counting he counts 17 billboards. In the second hour once he starts counting he sees 20 billboards. In the third hour he sees 23 billboards. James asks Benjamin the average number of billboards they've seen per hour. What should Benjamin tell him? Benjamin counts 17 + 20 + 23 = <<17+20+23=60>>60 billboards total on the way to Los Angeles. Benjamin saw those billboards over 3 hours, so the average number of billboards per hour they saw 60 / 3 = <<60/3=20>>20 billboards per hour. #### 20