James is building an army of Warhammer 40k figurines. It takes him 20 minutes to paint a space marine and 70 minutes to paint a dreadnought. If he paints 6 space marines and 2 dreadnoughts, how long does he spend painting total?
First find the total time James spends painting space marines: 20 minutes/marine * 6 marines =
<<20*6=120>>120 minutes Then find the total time James spends painting dreadnoughts: 70 minutes/dreadnought * 2 dreadnoughts = 140 minutes Then add the two amounts of time to find the total time James spends painting: 120 minutes + 140 minutes = <<120+140=260>>260 minutes #### 260 Sally, Sam, and Steve went to play with their marbles. In the beginning, Sam has twice as many marbles as Steve while Sally has 5 less than Sam. After Sam has given Sally and Steve 3 marbles each, Sam has 8 marbles left. How many marbles does Steve have now? Sam has 8 marbles left after giving 3 marbles/person x 2 people = 6 marbles to Sally and Steve. Hence, Sam had 8 marbles + 6 marbles = <<8+6=14>>14 marbles in the beginning. Sam had twice as many marbles as Steve, therefore Steve has 14 marbles / 2 = <<14/2=7>>7 marbles in the beginning. So now, Steve has a total of 7 marbles + 3 marbles = <<7+3=10>>10 marbles after Sam gave him 3 marbles. #### 10 Josh’s mom gives him $20 to go shopping at the mall. He buys a hat for $10 and a pencil for $2. Then he buys four cookies. If each cookie costs $1.25, how much money does Josh have left? After buying a hat, Josh has $20 - $10 = $<<20-10=10>>10 After buying a pencil, Josh has $10 - $2 = $<<10-2=8>>8 The total cost of cookies is 4 * $1.25 = $<<4*1.25=5>>5 After buying the cookies, Josh has $8 - $5 = $<<8-5=3>>3 #### 3 Andy is making fudge. First he needs to raise the temperature of the candy mixture from 60 degrees to 240 degrees. Then he needs to cool it down to 170 degrees. If the candy heats at 5 degrees/minute and cools at 7 degrees/minute, how long will it take for the candy to be done (in minutes)? First find the total number of degrees the candy needs to heat up: 240 degrees - 60 degrees = <<240-60=180>>180 degrees Then divide that amount by the rate the candy heats up: 180 degrees / 5 degrees/minute = <<180/5=36>>36 minutes Then find the number of degrees the candy needs to cool down: 240 degrees - 170 degrees = <<240-170=70>>70 degrees Then divide that by the rate the candy cool down: 70 degrees / 7 degrees/minute = <<70/7=10>>10 minutes Then add the time for the candy to heat to the time for it to cool to find the total time: 10 minutes + 36 minutes = <<10+36=46>>46 minutes #### 46 Jack and Jill are friends who borrow from each other often. Last week Jack borrowed $1200 from Jill, which he promised to pay back with an interest of 10%. How much will Jack pay back? The interest on the loan is 0.1*1200=$<<0.1*1200=120>>120 The total amount Jack needs to pay back is 1200+120=<<1200+120=1320>>1320 #### 1320 Bob is building raised beds for his vegetable garden. Each bed is 2 feet high, 2 feet wide, and 8 feet long. The sides are going to be built of 1-foot wide planks. If Bob buys his lumber in 8-foot-long boards, planning to cut some of them for the shorter lengths he'll need, how many 8-foot long planks will he need to construct 10 raised beds? Each raised bed is 8 feet long, the same as the planks, so the long sides of the beds will each be 1 plank long. Each raised bed is 2 feet wide, or 2/8 = 1/4 the length of the planks, so the short sides will each be 1/4 plank long. Each bed is 2 feet tall, and the planks are 1 foot wide, so each side will need 2 pieces of lumber of the same length. So each bed will require 2 * 2 * 1.25 = 4 * 1.25 = <<2*2*1.25=5>>5 planks of wood. Bob wants to build 10 raised beds, so he will need 10 * 5 = <<10*5=50>>50 planks of lumber. #### 50 Aaron is gathering can lids to take to the recycling center. He uses 3 equal-sized boxes of canned tomatoes and adds the lids he gets to the 14 can lids he already has. He is now taking 53 can lids to the recycling center. How many cans lids did he get from each box? Calculating the difference between the can lids Aaron has now and the amount that he had initially shows there were 53 – 14 = <<53-14=39>>39 can lids in the boxes of canned tomatoes. As the boxes are the same size, splitting these can lids equally shows that there were 39 / 3 = <<39/3=13>>13 can lids in each box. #### 13 Jimmy needs to score at least 50 points to pass to the next class. He earned 20 points for each of the 3 exams he wrote but lost 5 points during the school year for bad behavior. How many more points can Jimmy lose and still be able to pass the next class? Jimmy earned 20 * 3 = <<20*3=60>>60 points for the exams he wrote. For bad behavior, he lost 5 points, so he has 60 – 5 = <<60-5=55>>55 points left. To pass to the next class, Jimmy needs at least 50 points, so he can lose 55 – 50 = <<55-50=5>>5 more points. #### 5 The library has 9,900 books. Over the summer, they sold some books. If only four sixths of the books are left, how many did they sell? A sixth of the books is 9900/6 = <<9900/6=1650>>1650 books. Only 4*1650 = <<4*1650=6600>>6600 books are left. The library sold 9900-6600= <<9900-6600=3300>>3300 books over the summer. #### 3300 Megan is an actress. She was the lead actress in 80% of her work. In total, Megan participated in 100 plays. How many times Megan was not the lead actress? Megan was the lead actress in 100 * 80% = <<100*80*.01=80>>80 plays. So Megan was not the lead actress in 100 - 80 = <<100-80=20>>20 plays. #### 20